Curriculum Vitae

Kenneth R. Davidson

University Professor, FRSC, FIF

Education

B.Math. 1972 University of Waterloo Ph.D. 1976 University of California, Berkeley

Positions Held

2007 - University Professor University of Waterloo 2001 - 2004 Director Fields Institute for Research in the Mathematical Sciences 1985 - 2007 Professor University of Waterloo 1982 - 1985 Associate Professor University of Waterloo 1978 - 1982 Assistant Professor University of Waterloo 1976 - 1978 C.L.E. Moore Instructor M.I.T.

Awards

2018 Canadian Mathematical Society Fellow 2014 C.M.S. David Borwein Distinguished Career Award 2013 C.M.S. G. de B. Robinson Award 2012 - 2013 Award for Excellence in Graduate Supervision, University of Waterloo since 2007 University Professor, University of Waterloo since 2006 Fields Institute Fellow 1995 - 1997 KILLAM Research Fellowship since 1992 Fellow, Academy of Science, Royal Society of Canada 1988 - 1990 E.W.R. STEACIE Fellowship 1985 Israel Halperin Prize in Operator Algebras

Research Interests

Nonselfadjoint operator algebras Operator theory C*-algebras

Editorial Positions

Journal of Operator Theory 2002 - present Integral Equations and Operator Theory 1994 - present Houston Journal of Mathematics 1998 - 2019 Complex analysis and its synergies 2014 - 2021 Fields Institute Editorial Board 2001 - 2021 CMS Tracts in Mathematics, Editor-in-Chief 2000 - 2004 Proceedings Edinburgh Mathematical Society 1996 - 1999 Canadian Journal of Mathematics 1990 - 1995 Canadian Mathematical Bulletin 1990 - 1995

External Committees

Chair, International Affairs Committee, NRC/CMS, 2013 - 2015 Chair, Review Panel, Math.&Stats, U. Victoria 2011. Chair, Publications Committee, CMS, 2010 - 2012. External Review Panel, Math. Dept., Iowa State U., 2007. Chair, Finance Committee, CMS 2007 - 2009. H.M.Tory Medal Committee, Royal Society of Canada 2007 - 2009. Board of Directors, UNB Centre for Operator Algebras 2005 - 2016 Director Search Committee, AARMS 2005 Nominating Committee, MPS division, RSC 2003 - 2005 Director, Fields Institute 2001 - 2004 Canadian representative to the IMU, Shanghai August,2002 Board of Directors, Fields Institute 2001 - 2005 Scientific Advisory Panel, Fields Institute 1991 - 1996 and 2001 - 2006 Scientific Advisory Committee of AARMS 2002 - 2010 Scientific Advisory Board of BIRS 2001 - 2004 Board of Directors, MITACS 2001 - 2004 Chair, Nominating Committee of the CMS 1998 - 2000 Steering Committee for Mathematics (NSERC) 1997 and 2001 Vice President, Canadian Mathematical Society 1995 - 1997 National Advisory Committee on Mathematics 1994 - 1997 (chair 96 - 97) NSERC Strategy Implementation Task Force 1995 NSERC Pure and Applied Math Grant Selection Committee 1990 - 1993 (chair 92 - 93) University of Waterloo Senate 1989 - 1990

Conferences Organized

Ninth Canadian Operator Theory Conference, Waterloo, May 1981. Special Session in Operator Theory, CMS Annual Meeting, December 1986. Special Session in Operator Algebras, Ontario Math. Meeting, April 1988. Scientific Committee, CMS Annual Winter Meeting, December 1990. Nineteenth Canadian Operator Algebra Conference, Montreal, May 1991. Fields Institute, Organizing committee, 1994--1995 year on C*-algebras. Co-chair, Scientific Committee, 50th Anniversary of the CMS, Toronto, June 1995. Nonselfadjoint Operator Algebras, Fields Institute, July 2002. Canadian Operator Symposium, Waterloo, May 2004, organizing committee. 20th Operator Theory Conference, Timisoara, Rumania, July 2004, scientific committee. LMS meeting on Operator Algebras and Random Matrices, Ambleside, July 2004, organizing committee. CMS summer meeting, Waterloo, June 2005, organized special session. Great Plains Operator Theory Symposium (GPOTS), Lincoln NE, May 2007, scientific advisory committee. 22nd Operator Theory Conference, Timisoara, Rumania, July, 2008, scientific committee. Workshop in Multivariable operator theory, Fields Institute, Toronto, August, 2009. Workshop in Multivariable operator theory, BIRS, Banff, August, 2010. Banach Algebras 2011, Waterloo, August, 2011. 24th International Conference in Operator Theory, Timisoara, July, 2012, steering committee. CMS winter meeting, Montreal, December, 2012; organized special session. Great Plains Operator Theory Symposium (GPOTS), Berkeley CA, May 2013, scientific committee. Oberwolfach Workshop on Hilbert modules and complex geometry, April 2014, organizer (with J. Eschmeier, R. Douglas and H. Upmeier). 24th International Conference in Operator Theory, Timisoara, July, 2012, steering committee. CMS winter meeting, Montreal, December, 2012; organized special session. Great Plains Operator Theory Symposium (GPOTS), Berkeley CA, May 2013, scientific committee. Oberwolfach Workshop on Hilbert modules and complex geometry, April 2014, organizer (with J. Eschmeier, R. Douglas and H. Upmeier). 25th International Conference in Operator Theory, Timisoara, July, 2014, steering committee. CMS winter meeting, Hamilton, December, 2014; organized special session. BIRS Workshop on Multivariate Operator Theory, April, 2015, organizer (with J. Eschmeier, R. Douglas, W. Helton and M. Putinar). Canadian Operator Symposium, University of Waterloo, June, 2015, organizer (with L. Marcoux). Workshop on multivariable operator theory, Technion, Haifa, June 2017 (scientific committee). Scientific Director, Canadian Mathematical Society Annual Winter Meeting, University of Waterloo, December, 2017. Focus Program on Applications of Noncommutative Functions, Fields Institute, June 2019 (organizer with 4 others).

PUBLICATIONS

Refereed Journals

K.R. Davidson and E. Shamovich, Nevanlinna-Pick Families and Singular Rational Varieties, Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology, Operator Theory: Advances and Applications 278, R. Curto et al. (eds.), Springer-Verlag, 2020, pp. 129--145. K.R. Davidson, A. Dor-On and Boyu Li, Structure of free semigroupoid algebras, J. Funct. Anal. 277 (2019), 3283--3350. K.R. Davidson and E.T.A. Kakariadis, A proof of Boca's Theorem, Proc. A Royal Soc. Edinburgh 149 (2019), 869--876. K.R. Davidson, A.H. Fuller and E.T. Kakariadis, Semicrossed products of operator algebras: a survey, New York J. Math. 24a (2018), 56--86. R. Clouatre and K.R. Davidson, Ideals in a multiplier algebra on the ball, Trans. Amer. Math. Soc. 370 (2018), 1509--1527. K.R. Davidson, V.I. Paulsen and H.J. Woerdeman, Complete spectral sets and numerical range, Proc. Amer. Math. Soc. 146 (2018), 1189--1195. K.R. Davidson, A. Dor-On, O.M. Shalit and B. Solel, Dilations, inclusions of matrix convex sets, and completely positive maps, International Mathematics Research Notices (IMRN) 2017 (2017), 4069--4130. K.R. Davidson, A.H. Fuller and E.T. Kakariadis, Semicrossed Products of Operator Algebras by Semigroups, Memoirs Amer. Math. Soc. 247 No. 1168 (2017), (97 + v pages) R. Clouatre and K.R. Davidson, Absolute continuity for commuting row contractions, J. Funct. Anal. 271 (2016), 620--641. R. Clouatre and K.R. Davidson, Duality, approximation and absolute continuity in Drury-Arveson space, Adv. Math. 295 (2016), 90--149. R. Clouatre and K.R. Davidson, The unit ball of the predual of H^infty(B_d) has no extreme points, Proc. Amer. Math. Soc. 144 (2016), 1575--1580. K.R. Davidson and M. Kennedy, The Choquet boundary of an operator system, Duke Math. J. 164 (2015), 2989--3004. K.R. Davidson and D.R. Pitts, Erratum to: The algebraic structure of non-commutative analytic Toeplitz algebras, Math. Annalen 361 (2015), 1123-1124. K. Davidson, M. Hartz and O. Shalit, Multipliers of embedded discs, Complex Analysis and Operator Theory 9 (2015), 287-321. Erratum, ibid., 323-327. K.R. Davidson, C. Ramsey and O.M. Shalit, Operator algebras for analytic varieties, Trans. Amer. Math. Soc. 367 (2015), 1121-1150. K.R. Davidson and E.T. Kakariadis, Conjugate dynamical systems on C*-algebras, Int. Math. Res. Not. IMRN 2014 (2014), 1289-1311. K.R. Davidson, The C*-envelope of an operator algebra, CMS Notes 46, no.2, (2014), 15-16. M.D. Choi and K.R. Davidson, A 3 by 3 dilation counterexample, Bull. London Math. Soc. 45 (2013), 511-519. K.R. Davidson, The mathematical legacy of William Arveson, J. Operator Theory 68 (2012), 307-334. K.R. Davidson and E.K. Katsoulis, Semicrossed products of the disc algebra, Proc. Amer. Math. Soc. 140 (2012) 3479-3484. K.R. Davidson and J. Roydor, Isomorphisms of tensor algebras of topological graphs, Indiana Univ. Math. J. 60 (2011), 1249-1266. K.R. Davidson and E.K. Katsoulis, Dilation theory, commutant lifting and semicrossed products, Documenta Math. 16 (2011) 781-868. K.R. Davidson, C. Ramsey and O.M. Shalit, The isomorphism problem for some universal operator algebras, Advances Math. 228 (2011), 167--218. K.R. Davidson and Ryan Hamilton, Nevanlinna-Pick Interpolation and Factorization of Linear Functionals, Integral Equations & Operator Theory 70 (2011), 125--149. K.R. Davidson and A. Wright, Operator algebras with unique preduals, Canad. Math. Bull. 54 (2011), 411--421. K.R. Davidson and E.K. Katsoulis, Operator algebras for multivariable dynamics, Memoirs Amer. Math. Soc. 209 (2011) no. 982 53+viii pages. K.R. Davidson and Trieu Le, Commutant lifting for commuting row contractions, Bull. London Math. Society, 42 (2010), 506--516. K.R. Davidson, S.C. Power and Dilian Yang, Dilation Theory for rank 2 graph algebras, J. Operator Theory 63 (2010), 245--270. K.R. Davidson and E.K. Katsoulis, Dilating covariant representations of the non-commutative disc algebras, J. Funct. Anal. 259 (2010), 817--831. K.R. Davidson and J. Roydor, C*-envelopes of tensor algebras for multivariable dynamics, Proc. Edinburgh Math. Soc. 53 (2010), 333--351. Corrigendum DOI:10.1017/S0013091511000216 K.R. Davidson and Dilian Yang, Representations of Higher Rank Graph Algebras, New York J. Math. 15 (2009), 169--198. K.R. Davidson and Dilian Yang, Periodicity in Rank 2 Graph Algebras, Canad. J. Math. 61 (2009), 1239--1261. K.R. Davidson and Y.Q. Ji, Topological stable rank of nest algebras, Proc. J. London Math. Soc. 98 (2009), 652--678. K.R. Davidson, V.I. Paulsen, M. Raghupathi and D. Singh, A Constrained Nevanlinna-Pick Interpolation Problem, Indiana Univ. Math. J. 58 (2009), 709--732. K.R. Davidson and E.K. Katsoulis, Semicrossed Products of Simple C*-algebras, Math. Annalen 342 (2008), 515--525. K.R. Davidson, S.C. Power and Dilian Yang, Atomic Representations of Rank 2 Graph Algebras, J. Funct. Anal. 255 (2008), 819--853. K.R. Davidson, L. Marcoux and H. Radjavi, Transitive subspaces, Integral Equations and Operator Theory 61 (2008), 187--210. K.R. Davidson and E.K. Katsoulis, Isomorphisms between topological conjugacy algebras, J. Reine Angew. Math. 621 (2008), 29--51. K.R. Davidson, L. Marcoux, R. Levene and H. Radjavi, On the topological stable rank of non-selfadjoint operator algebras, Math. Annalen 341 (2008), 239--253. K.R. Davidson and D. Yang, A note on absolute continuity in free semigroup algebras, Houston J. Math. 34 (2008), 283--288. K.R. Davidson and A.P. Donsig, Norms of Schur multipliers, Illinois J. Math. 51 (2007), 785--807. K.R. Davidson and E. Katsoulis, Nest representations of directed graph algebras, Proc. London Math. Soc. 92 (2006), 762--790. K.R. Davidson and R.H. Levene, 1-hyperreflexivity and complete hyperreflexivity, J. Func. Anal. 235 (2006), 666--701. K.R. Davidson, B(H) is a free semigroup algebra, Proc. Amer. Math. Soc. 134 (2006), 1753--1757. K.R. Davidson and R.G. Douglas, Generalized Berezin Transform and Commutator Ideals, Pacific J. Math. 222 (2005), 29--56. K.R. Davidson and D.Z. Djokovic TriDiagonal Forms in Low Dimensions, Linear Algebra Appl. 407 (2005), 169--188. K.R. Davidson, J.K. Li and D.R. Pitts. A Kaplansky Density Theorem for Free Semigroup Algebras, J. Func. Anal. 224 (2005), 160--191. K.R. Davidson and L.W. Marcoux, Linear spans of unitary and similarity orbits of a Hilbert space operator, J. Operator Theory 52 (2004), 113-132. K.R. Davidson, E. Katsoulis and J. Peters, Meet irreducible ideals and representations of limit algebras, J. Func. Anal. 200 (2003),23--30. K.R. Davidson and E. Katsoulis, Primitive limit algebras and C*-envelopes, Advances in Math. 170 (2002), 181--205. K.R. Davidson, E. Katsoulis and D.R. Pitts, The structure of free semigroup algebras, J. reine angew. Math. (Crelle) 533 (2001), 99--125. K.R. Davidson, D.W. Kribs and M.E. Shpigel, Isometric dilations of non-commuting finite rank $n$-tuples, Canad. J. Math. 53 (2001), 506--545. K.R. Davidson and D.R. Pitts, Invariant subspaces and hyper-reflexivity for free semigroup algebras, Proc. London Math. Soc. 78 (1999), 401--430. K.R. Davidson and J.L. Orr, Principal bimodules of nest algebras, J. Func. Anal. 157 (1998), 488--533. K.R. Davidson, The Russo--Dye theorem for nest algebras, Proc. Amer. Math. Soc. 126 (1998), 3055--3059. K.R. Davidson and D.R. Pitts, Nevanlinna--Pick Interpolation for non-commutative analytic Toeplitz algebras, Integral Eqtns. & Operator Thy. 31 (1998), 321--337. K.R. Davidson and D.R. Pitts, The algebraic structure of non-commutative analytic Toeplitz algebras, Math. Annalen 311 (1998), 275--303. K.R. Davidson and G. Popescu, Noncommutative disc algebras for semigroups, Canad. J. Math. 50 (1998), 290--311. K.R. Davidson, Nest algebras are hyperfinite, Illinois J. Math. 42 (1998), 107--122. K.R. Davidson, A.P. Donsig and T.D. Hudson, Norm-closed bimodules of nest algebras, J. Operator Thy. 39 (1998), 59--87. K.R. Davidson and V.I. Paulsen, Polynomially bounded operators, J. Reine Angew. Math. 487 (1997), 153--170. K.R. Davidson, Normalizers of finite multiplicity nests, Proc. Edin. Math. Soc. 39 (1996), 337--344. K.R. Davidson, J.L. Orr and D.R. Pitts, Connectedness of the invertibles in certain nest algebras, Canad. Math. Bull. 38 (1995), 412-420. K.R. Davidson, K.H. Harrison, and J.L. Orr, Epimorphisms of nest algebras, Int'l. J. Math. 6 (1995), 657-687. K.R. Davidson, K.H. Harrison, and U.A. Mueller, Rank decomposability in incidence spaces, Lin. Alg. Appl. 230 (1995), 3-19. K.R. Davidson, When locally contractive representations are completely contractive, J. Func. Anal. 128 (1995), 186-225. K.R. Davidson and D.R. Pitts, Approximate unitary equivalence of completely distibutive commutative subspace lattices, J. Integral Eqtns and Operator Theory 22 (1995), 196-211. K.R. Davidson and J.L. Orr, The invertibles are connected in infinite multiplicity nest algebras, Bull. London Math. Soc. 27 (1995), 155-161. K.R. Davidson and J.L. Orr, The Jacobson radical of a CSL Algebra, Trans. Amer. Math. Soc. 344 (1994), 925-947. K.R. Davidson and M. Ordower, Some Exact Distance Constants, Lin. Alg. Appl. 208/209 (1994), 37-55. K.R. Davidson and H. Huang, Universal factorization of positive operators, Indiana U. Math. J. 43 (1994), 131-142. K.R. Davidson and F. Zarouf, Incompatibility of compact perturbations with the Sz. Nagy--Foias functional calculus, Proc. Amer. Math. Soc. 121 (1994), 519-522. K.R. Davidson, V.I. Paulsen, and S.C. Power, Tree algebras, semidiscretenesss, and dilation theory, Bull. London Math. Soc.(3) 68 (1994), 178-202. K.R. Davidson and N. Salinas, Joint quasitriangularity of essentially unitary pairs, Amer. J. Math. 115 (1993), 861-879. K.R. Davidson, Ideal perturbations of nest algebras, J. Operator Theory 26 (1991), 241--253. I.D. Berg and K.R. Davidson, A quantitative version of the Brown-Douglas-Fillmore Theorem, Acta. Math. 166 (1991), 121-161. K.R. Davidson and S.C. Power, Isometric automorphisms and homology for nonself adjoint operator algebras, Quarterly J. Math. (2) 42 (1991), 271-292. K.R. Davidson, Lifting positive elements in C*-Algebras, J. Integral Equations Operator Theory 14 (1991), 183-191. K.R. Davidson, Domingo Herrero: his theorems and problems, Houston J. Math. 17 (1991), 453-476, (special memorial issue). K.R. Davidson, The relationship between Distance Formulae and Compact Perturbations of Reflexive Algebras, Canad. Math. Bull. 33 (1990), 489-493. K.R. Davidson and D.R. Pitts, Compactness and Complete Distributivity for Commutative Subspace Lattices, J. London Math. Soc. (2) 42 (1990), 147-159. K.R. Davidson and D.A. Herrero, The Jordan form of a bitriangular operator, J. Func. Anal. 94 (1990), 27-73. K.R. Davidson, Isomorphisms of nest algebras and their quotients, Proc. AMS Summer Inst. in Operator Theory, Durham N.H., July 1988, Proc. Symp. Pure Math 51 (1990), Part 1, 171-178. K.R. Davidson, Problems in reflexive algebras, Proc. GPOTS meeting 1987, Rocky Mountain Math. J. 20 (1990), 317-330. K.R. Davidson, D.A. Herrero and N. Salinas, Quasidiagonal Operators, Approximation, and C*-algebras, Indiana Univ. J. Math. 38 (1989), 973-998. K.R. Davidson and D. Herrero, Quasisimilarity of nests, Pacific J. Math. 138 (1989), 243 - 257. K.R. Davidson, A Survey of Nest Algebras, Analysis at Urbana, London Math. Soc. Lect. Notes 138 (1989), 221 - 242. K.R. Davidson and K.J. Harrison, A distance formula for subspace lattices, J. London Math. Soc. (2) 39 (1989), 309 - 323. K.R. Davidson and J.A.R. Holbrook, Numerical radii of Zero-One matrices, Mich. J. Math. 35 (1988), 261 - 267. K.R. Davidson, Normal operators are diagonal plus Hilbert-Schmidt, J. Operator Theory 20 (1988), 241-250. K.R. Davidson, Estimating the distance between unitary orbits, J. Operator Theory 20 (1988), 21 - 40. K.R. Davidson, T. Feeman and A. Shields, Extreme points in quotients of operator algebras, in Topics in Operator Theory, C. Apostol Memorial Issue, Operator Theory Adv. Appl. 32 (1988), 67 - 91, Birkhauser Verlag. C. Apostol and K.R. Davidson, Isomorphisms of Nest algebras modulo the compact operators II, Duke J. Math. 56 (1988), 101 - 127. I.D. Berg and K.R. Davidson, Almost commuting matrices and the Brown-Douglas- Fillmore Theorem, Bull. Amer. Math. Soc. 16 (1987), 97 - 100. K.R. Davidson, The distance to the analytic Toeplitz operators, Illinois J. Math. 31 (1987), 265 - 273. K.R. Davidson, Continuous nests and the strange behaviour of Ext, Bull. London Math. Soc. 18 (1986), 485 - 492. K.R. Davidson and S.C. Power, Best approximation in C*-algebras, J. Reine Angew. Math. 368 (1986), 43 - 62. K.R. Davidson and D. Herrero, Decomposition of Banach space operators, Indiana Math. J. 35 (1986), 333 - 343. K.R. Davidson, Approximate unitary equivalences of continuous nests, Proc. Amer. Math. Soc. 97 (1986), 655 - 660. K.R. Davidson, Perturbations of reflexive operator algebras, J. Operator Theory 15 (1986), 289 - 305. M.D. Choi and K.R. Davidson, Perturbations of finite dimensional algebras, Michigan J. Math. 33 (1986), 273 - 287. K.R. Davidson, The distance between unitary orbits of normal operators, Acta. Sci. Math. (Szeged) 50 (1986), 213 - 223. K.R. Davidson, Banach spaces antiproximinal in their biduals, J. Approximation Theory 47 (1986), 203 - 213. K.R. Davidson, Almost commuting Hermitian matrices, Math. Scand. 56 (1985), 222 - 240. K.R. Davidson and S.C. Power, Failure of the distance formula, J. London Math. Soc. (2) 32 (1984), 157 - 165. K.R. Davidson, Berg's Technique and Irrational Rotation Algebras, Proc. Royal Irish Acad. 84A (1984), 117 - 123. K.R. Davidson, The distance between unitary orbits of normal elements of the Calkin algebra, Proc. A, Royal Soc. Edinburgh 99A (1984), 35 - 43. J. Barria and K.R. Davidson, Unicellar Operators, Trans. Amer. Math. Soc. 284 (1984), 220 - 246. K.R. Davidson, Approximate unitary equivalence of power partial isometries, Proc. Amer. Math. Soc. 91 (1984), 81 - 84. K.R. Davidson and B. Wagner, Automorphisms of quasitriangular algebras, J. Func. Anal. 59 (1984), 612 - 627. K.R. Davidson and D. O'Donovan, Isometric images of C*-algebras, Canad. Math. Bull. 27 (1984), 286 - 294. K.R. Davidson, Similarity and Compact Perturbations of Nest Algebras, J. Reine Angew. Math. 348 (1984), 72 - 87. K.R. Davidson, Essentially spectral operators, Proc. London Math. Soc. 46 (1983), 547 - 560. K.R. Davidson, The essential commutant of CSL algebras, Indiana Univ. Math. J. 32 (1983), 761 - 771. K.R. Davidson, Quasitriangular algebras are maximal, J. Operator Theory 10 (1983), 51 - 56. K.R. Davidson, Pointwise limits of Analytic Functions, Amer. Math. Monthly 90 (1983), 391 - 394. K.R. Davidson and M. Vidyasagar, Causal Invertibility and Feedback Stability of Half Plane Two Dimensional Digital Filters, IEEE Trans. ASSP 31 (1983), 195 - 201. K.R. Davidson, Invariant Operator Ranges and Reflexive Algebras, J. Operator Theory 7 (1982), 101 - 107. K.R. Davidson, Lifting Commuting Pairs of C* Algebras, J. Func. Anal. 48 (1982), 20 - 42. K.R. Davidson and C.T. Ng, Information Measures and Cohomology, Utilitas Math. J. 20 (1981), 27 - 34. J. Baker and K.R. Davidson, On the Cosine Equation, Glasnik J. Math. 16 (1981), 269 - 276. K.R. Davidson, Quadratic Forms and Sums of Squares, Glasnik J. Math. 16 (1981), 199 - 204. K.R. Davidson, A Proof of the Boundary Theorem, Proc. Amer. Math. Soc. 82 (1981), 58 - 60. K.R. Davidson, Compact Perturbations of Reflexive Algebras, Canad. J. Math. 33 (1981), 685 - 700. C. Cowen, K.R. Davidson and R.P. Kaufman, Rearranging the Alternating Harmonic Series, Amer. Math. Monthly 87 (1980), 817 - 819. K.R. Davidson, Commutative Subspaces Lattices, Indiana Univ. Math J. 27 (1978), 479 - 490. K.R. Davidson and C.K. Fong, An Operator Algebra which is not closed in the Calkin Algebra, Pacific J. Math. 72 (1977), 57 - 58. K.R. Davidson, On Operators Commuting with Toeplitz Operators Modulo the Compact Operators, J. Func. Anal. 24 (1977), 291 - 302.

Reviews

K.R. Davidson, Review of The Pea and the Sun, by L.M. Wapner, C.M.S. Notes 38 no.1, 5. K.R. Davidson, Review of Limit algebras: an introduction to subalgebras of C*-algebras, by S.C. Power, Bull. London Math. Soc. 27 (1995), 93-94. K.R. Davidson, Review of Approximation of Hilbert Space Operators, Vol.I and II, by D. Herrero, C.Apostol, L. Fialkow and D. Voiculescu, Bull. Amer. Math. Soc. 15 (1986), 91 - 98.

Conference Proceedings

K.R. Davidson, R.G. Douglas, J. Eschmeier and H. Upmeier, Hilbert modules and complex geometry, Oberwolfach Reports, OWR \textbf{11} (2014), 1139--1219. K.R. Davidson and E.K. Katsoulis, Biholomorphisms of the unit ball of C^n and semicrossed products, in Operator Theory Live: conference proceedings, Timisoara, July 3-8, 2008, pp. 69-80, Theta Foundation, 2010. K.R. Davidson and E.K. Katsoulis, Nonself-adjoint operator algebras for dynamical systems, in Operator Structures and Dynamical Systems, M. de Jeu, S. Silvestrov, C. Skau, and J. Tomiyama, eds., Contemporary Math. 503, 2009. K.R. Davidson, Free semigroup algebras, a survey, Systems, approximation, singular integral operators, and related topics (Bordeaux, 2000), 209--240, Oper. Theory Adv. Appl., 129 Birkhauser, Basel, 2001. K.R. Davidson, Polynomially bounded operators, NATO ASI Proceedings, Samos, Greece, August, 1996, Operator algebras and applications, pp. 145--162, Kluger Acad. Pub., Dordrecht, 1997. K.R. Davidson, Commutative subspace lattices, complete distributivity, and approximation, Cont. Math. 185 (1995), 89-107. K.R. Davidson, Isomorphisms of nest algebras and their quotients, Proc. AMS Summer Inst. in Operator Theory, Durham, N.H., July 1988, Proc. Symp. Pure Math 51 (1990), Part 1, 171-178. K.R. Davidson, Finite dimensional problems in Operator Theory, The Gohberg Anniversary Collection, Operator Theory: Advances and Applications 40, 187 - 201. Birkhauser Verlag Basel, 1989. J. Barria and K.R. Davidson, Examples of chains of invariant subspaces, Operator Theory: Adv. and Appl., 17, 51 - 54, Birkhauser Verlag Basel, 1986. K.R. Davidson, Commuting Pairs of C* Algebras in the Calkin Algebra, Proc. Symp. Pure Math. 38, part 2 (1980), 606 - 607.

Monographs

A. Borichev, K. Davidson, S. Kupin, G. Pisier, F. Vasilescu, and V. Vasyunin, editors, Recent Trends in Analysis: Proceedings of the Conference in Honor of Nikolai Nikolski, Bordeaux, 2011, Theta Foundation, Bucharest, 2013. K.R. Davidson and A.P. Donsig, Real Analysis and Applications: Theory in Practice, Undergraduate Texts in Mathematics , Springer Verlag, New York, 2010. K.R. Davidson, D. Gaspar, S. Stratila, D. Tomotin and F.H. Vasilescu, editors, Operator Theory 20 The Theta Foundation, Bucharest, 2006. K.R. Davidson and A.P. Donsig, Real Analysis with Real Applications, Prentice Hall, Saddle River, NJ, 2002. K.R. Davidson, C*-Algebras by Example Fields Institute Monographs 6, Amer. Math. Soc., Providence, 1996. K.R. Davidson, Integers, Polynomials and Finite Fields Course notes, University of Waterloo, Faculty of Mathematics, 1994. K.R. Davidson, Nest Algebras Pitman Research Notes in Mathematics Series, 191 Longman Scientific and Technical Pub. Co., London, New York, 1988.

Articles and Chapters in Books

K.R. Davidson, R.G. Douglas, J. Eschmeier and H. Upmeier, Hilbert modules and complex geometry, Oberwolfach Reports, OWR 11 (2014), 1139-1219. K.R. Davidson, Essentially normal operators, in A glimpse of Hilbert space operators: Paul R. Halmos in memoriam, S. Axler, P. Rosenthal and D. Sarason, eds., Springer Verlag, 2010. K.R. Davidson and S.J. Szarek, Local operator theory, random matrices and Banach spaces, Handbook of the Geometry of Banach Spaces Vol. I, chapter 8, 317--366, W.B. Johnson and J. Lindenstrauss, editors; North-Holland, Amsterdam, 2001. K.R. Davidson and S.J. Szarek, Addenda and corrigenda to: ``Local operator theory, random matrices and Banach spaces'', Handbook of the Geometry of Banach Spaces Vol. 2, 1819--1820, North-Holland, Amsterdam, 2003.

Accepted for Publication

K.R. Davidson and B. Passer, Strongly Peaking Representations and Compressions of Operator Systems, IMRN, Accepted Aug. 2020

Submitted for Publication

K.R. Davidson and M. Kennedy, Noncommutative Choquet theory, Inventiones, submitted June 2019 K.R. Davidson and M. Hartz, Interpolation and duality in algebras of multipliers on the ball, J.E.M.S., submitted April, 2020 K.R. Davidson and M. Kennedy, Choquet order and hyperrigidity for function systems, Adv. Math., submitted Sept. 2020 Back to my homepage