Commutant lifting for commuting row contractions (with Trieu Le). (Revised 9/09.)
Essentially normal operators , a survey article to appear in: Paul R. Halmos in memoriam, Operator Theory: Advances and Applications, S. Axler, P. Rosenthal and D. Sarason, eds., Birkhauser Verlag.
Dilating covariant representations of the non-commutative disc algebras (with Elias Katsoulis).
Biholomorphisms of the unit ball of $\bC^n$ and semicrossed products (with Elias Katsoulis), to appear in Operator Theory 22.
Nonself-adjoint operator algebras for dynamical systems (with Elias Katsoulis), to appear in Contemporary Math.
C*-envelopes of tensor algebras for multivariable dynamics (with Jean Roydor), to appear in Proc. Edinburgh Math. Soc.
Operator algebras with unique preduals (with Alex Wright), to appear in Canad. Math. Bull. (Revised 12/08.)
Representations of higher rank graphs (with Dilian Yang), New York J. Math. 15 (2009), 169--198.
Topological stable rank of nest algebras (with You Qing Ji), Proc. London Math. Soc. 98 (2009), 652--678.
Semicrossed Products of Simple C*-algebras (with Elias Katsoulis), Math. Annalen 342 (2008), 515--525.
A Constrained Nevanlinna-Pick Interpolation Problem (with V. Paulsen, M. Raghupathi and D. Singh), Indiana J. Math. 58 (2009), 709--732.
On the topological stable rank of non-selfadjoint operator algebras (with L. Marcoux, R. Levene and H. Radjavi), Math. Annalen 341 (2008), 239--253. (Revised 1/08.)
Dilation Theory for rank 2 graph algebras (with S.C. Power and Dilian Yang), to appear, J. Operator Theory.
Atomic Representations of Rank 2 Graph Algebras (with S.C. Power and Dilian Yang), J. Funct. Anal. 255 (2008), 819--853. (Revised 4/08.)
Periodicity in Rank 2 Graph Algebras (with Dilian Yang), Canad. J. Math. 61 (2009), 1239--1261.
Operator algebras for multivariable dynamics (with Elias Katsoulis), to appear Memoirs Amer. Math. Soc.
Transitive Spaces of Operators (with L. Marcoux and H. Radjavi) Integral Equations & Operator Theory 61 (2008), 187--210. (Revised 8/07.)
A note on absolute continuity in free semigroup algebras (with Dilian Yang), Houston J. Math. 34 (2008), 283--288.
Absolutely Continuous Representations and a Kaplansky Theorem for Free Semigroup Algebras (with Jiankui Li and David Pitts). J. Func. Anal. 224 (2005), 160-191.
B(H) is a free semigroup algebra. Proc. Amer. Math. Soc. 134 (2006), 1753--1757.
The structure of free semigroup algebras (with Elias Katsoulis and David Pitts). J. reine angew. Math. (Crelle) 533 (2001), 99--125.
Isometric Dilations of non-commuting finite rank n-tuples (with David Kribs and Miron Shpigel). Canad. J. Math. 53 (2001), 506--545.
Nevanlinna--Pick Interpolation for non-commutative analytic Toeplitz algebras (with David Pitts). Integral Equations and Operator Theory 31 (1998), 321--337.
The Algebraic Structure of Non-commutative Analytic Toeplitz Algebras (with David Pitts). Math. Annalen 311 (1998), 275-303.
Invariant Subspaces and Hyper-reflexivity for Free Semigroup Algebras (with David Pitts). Proc. London Math. Soc. (3) 78 (1999), 401-430.
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.
Isomorphisms between Topological Conjugacy Algebras (with Elias Katsoulis), J. reine angew. Math. (Crelle) 621 (2008), 29--51.
Norms of Schur Multipliers (with Allan Donsig). Illinois J.Math. 51 (2007), 785--807.
1-Hyperreflexivity and Complete Hyperreflexivity (with Rupert Levene). J. Func. Anal. 235 (2006), 666--701.
Nest representations of directed graph algebras (with Elias Katsoulis). Proc. London Math. Soc. 92 (2006), 762--790.
Tridiagonal Forms in Low Dimensions (with D.Z. Djokovic). Lin. Alg. Appl. 407 (2005), 169--188.
Generalized Berezin Transform and Commutator Ideals (with Ronald Douglas). Pacific J. Math. 222 (2005), 29--56.
Linear spans of unitary and similarity orbits of a Hilbert space operator (with Laurent Marcoux). J. Operator Theory 52 (2004), 113-132.
Meet irreducible ideals and representations of limit algebras (with E. Katsoulis and J. Peters). J. Func. Anal. 200 (2003),23--30.
Primitive Limit Algebras and C*-Envelopes (with Elias Katsoulis). Advances Math. 170 (2002), 181--205.
A Note on the Similarity Theorem for Nest Algebras.
Nests were classified up to similarity simply in terms of order type and dimension. However the original proof (also exposited in my book) appears to rely on first classifying the compact perturbations of the nest algebras. This in turn required reliance on some difficult results on derivations of C*-algebras and in particular on the theorem of Johnson and Parrott. However a careful examination of the proofs shows that this circuitous route can be avoided. This note is a study guide to allow the reader to wend his or her way through those necessary parts of the proof and avoid the unneeded results on quasitriangular operators if they choose.