Nico Spronk's Papers

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Papers Accepted/Published in Refereed Journals

  1. (with P. J. Wood)   Diagonal type conditions on group C*-algebras. Proc. Amer. Math. Soc. 129 (2001), no. 2, 609--616. Article.

  2. Operator weak amenability of the Fourier algebra. Proc. Amer. Math. Soc. 130 (2002), no. 12, 3609-3617. Article.

  3. (with L. Turowska)   Spectral synthesis and operator synthesis for compact groups. J. London Math. Soc. 66 (2002), no. 2, 361--376. Preprint.

  4. (with B.E. Forrest, E. Kaniuth and A.T.-M. Lau) Ideals with bounded approximate identities in Fourier algebras. J. Func. Anal. 203 (2003), no. 1, 286--304.

  5. (with O. Yu. Aristov and V. Runde)  Operator biflatness of the Fourier algebra and approximate indicators for subgroups. J. Func. Anal. 209 (2004), no. 2, 367-387.

    (also with Z. Tanko) Corrigendum: Operator biflatness of the Fourier algebra and approximate indicators for subgroups, J. Funct. Anal. 270 (2016), no. 6, 2381--2382.

  6. (with V. Runde)  Operator amenability of Fourier-Stieltjes algebras. Math. Proc. Cambridge Phil. Soc. 136 (2004), no. 3, 675--686.

  7. Measurable Schur multipliers and completely bounded multipliers of the Fourier algebras. Proc. London Math. Soc. 89 (2004), no. 1, 161--192.

  8. (with R.R. Smith)  Representations of group algebras in spaces of completely bounded maps. Indiana Univ. Math. J. 54 (2005), no. 3, 873--896.

  9. (with M. Ilie)  Completely bounded homomorphisms of the Fourier algebras. J. Func. Anal. 225 (2005), no. 2, 480--499.

  10. (with B.E. Forrest)  Best bounds for approximate identities in ideals of the Fourier algebra vanishing on subgroups. Proc. Amer. Math. Soc. 134 (2006), no. 1, 111--116.

  11. (with V. Runde)  Operator amenability of the Fourier-Stieltjes algebras, II. Bull. London Math. Soc. 39 (2007), no. 2, 194--202.

  12. (with B.E. Forrest and P. J. Wood)  Operator Segal algebras in Fourier algebras. Studia Math. 179 (2007), no. 3, 277-295.

  13. (with M. Ilie)  The spine of a Fourier-Stieltjes algebra. Proc. London Math. Soc. (3) 94 (2007), no. 2, 273--301.

    Corrigendum: The spine of a Fourier-Stieltjes algebra. Proc. Lond. Math. Soc. (3) 104 (2012), no. 4, 859--863.

  14. Operator space structure on Feichtinger's Segal algebras. J. Funct. Anal. 248 (2007), no. 1, 152-174.

  15. (with B.E. Forrest and V. Runde)   Operator amenability of the Fourier algebra in the cb-multiplier norm. Canad. J. Math. 59 (2007),no. 5, 966--980.

  16. (with M. Ilie)  The algebra generated by idempotents in a Fourier-Stieltjes algebra. Houston J. Math. 33 (2006), no. 4, 1131--1145.

  17. (with M. Neufang and Z.-J. Ruan)  Completely isometric representations of McbA(G) and UCB(Gˆ)*. Trans. Amer. Math. Soc. 360 (2008), no.3, 1133--1161.

  18. (with A. Azimifard and E. Samei)   Amenability properties of the centres of group algebras. J. Funct. Anal. 256 (2008), no. 5, 1544--1564.

  19. (with B.E. Forrest and E. Samei)   Weak amenability of Fourier algebras on compact groups. Indiana Univ. Math. J. 59 (2009), no. 3, 1379--1394.

  20. (with M. Ghandehari and H. Hatami)   Amenability constants for semilattice algebras. Semigroup Forum 79 (2009), no. 2,279--297.

  21. (with B.E. Forrest and E. Samei)   Convolutions on compact groups and Fourier algebras of coset spaces. Studia Math. 196 (2010), no. 3:, 223--249.

  22. (with E. Samei and R. Stokke)   Biflatness and pseudo-amenability of Segal algebras. Canad. J. Math. 62 (2010), no. 4, 845--869.

  23. (with G.A. Bagheri-Bardi and A.R. Medghalchi) Operator-valued convolution algebras. Houston J. Math. 36 (2010), no. 4,1023--1036.

  24. (with J. Ludwig and L. Turowska)   Beurling-Fourier algebras on compact groups: spectral theory. J. Funct. Anal. 262 (2012), no. 2, 463-499.

  25. (with S. Öztop and V. Runde)  Beurling--Figà-Talamanca--Herz algebras. Studia Math. 210 (2012), no. 2, 117--135.

  26. (with Y.-H. Cheng and B.E. Forrest)  On the subalgebra of a Fourier-Stieltjes algebra generated by pure positive definite functions. Monatsh. Math. 171 (2013), no. 3-4, 305--314.

  27. (with R. Stokke)   Matrix coefficients of unitary representations and associated compactifications. Indiana Univ. Math. J. 62 (2013), no. 6,99--148.

  28. (with S. Öztop)   On Minimal and Maximal p-operator Space Structures. Canad. Math. Bull., 57 (2014), no. 1, 166--177.

  29. (with M. Neufang, P. Salmi and A. Skalski.)   Contractive idempotents on locally compact quantum groups. Indiana Univ. Math. J. 62 (2013), no. 6, 1983--2002.

  30. (with H.H. Lee and E. Samei)   Some weighted group algebras are operator algebras. Proc. Edinburgh Math. Soc. (2) 58 (2015), no. 2, 499--519.

  31. (with S. Öztop)   p-Operator space structure on Feichtinger--Figà-Talamanca--Herz Segal algebras. J. Operator Theory 74 (2015), no. 1, 45--74.

  32. (with M. Ghandehari, H.H. Lee and E. Samei)   Some Beurling-Fourier algebras on compact groups are operator algebras. Trans. Amer. Math. Soc. 367 (2015), no. 10, 7029--7059.

  33. (with M. Rostami)   Convolutions on the Haagerup tensor products of Fourier Algebras. Houston J. Math. 42 (2016), no. 2, 597--611.

  34. Commuting contractive idempotents in measure algebras. Ann. Funct. Anal. 7 (2016), no. 1, 136--149.

  35. (with H.H. Lee, J. Ludwig and E. Samei)   Weak amenability of Fourier algebras and local synthesis of the anti-diagonal. Adv. Math. 292 (2016), 11--41.

  36. (with H.H. Lee and E. Samei)   Similarity degree of Fourier algebras. J. Funct. Anal. 271 (2016), no. 3, 593--609.

  37. (with Mahmood Alaghmandan, M. Ghandehari and K. F. Taylor)   Projections in L1(G); the unimodular case, Proc. Amer. Math. Soc. 144 (2016), no. 11, 4929--4921.

Papers in Refereed Conference Proceedings

  1. Representations of multiplier algebras in spaces of completely bounded maps. Banach Algebras and Their Applications, Edmonton 2003 Contemp. Math. 363 (2004), 335--343. See a preprint.

  2. Amenability properties of Fourier algebras and Fourier-Stieltjes algebras: a survey. Banach Algebras 2009, 365--383, Banach Center Publications, Vol. 91, IMPAN, Warsaw, 2010.

Papers Submitted to Refereed Journals

(preprints available on arXiv or Front for arXiv)
  1. (with H.H. Lee and E. Samei) p-Fourier algebras on compact groups, 41 pages.

  2. (with Mahmood Alaghmandan) Amenability properties of the central Fourier algebra of a compact group, 21 pages.

  3. A short proof of Hulanicki's Theorem, 4 pages.

Other Papers

(see arXiv or Front for arXiv)
  1. (with M. Daws)   The approximation property implies that convolvers are pseudo-measures.