A characterization of completely bounded multipliers of Fourier algebras

Paul Jolissaint

Colloquium Mathematicae (1992)

  • Volume: 63, Issue: 2, page 311-313
  • ISSN: 0010-1354

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Jolissaint, Paul. "A characterization of completely bounded multipliers of Fourier algebras." Colloquium Mathematicae 63.2 (1992): 311-313. <http://eudml.org/doc/210156>.

@article{Jolissaint1992,
author = {Jolissaint, Paul},
journal = {Colloquium Mathematicae},
keywords = {representation; C*-algebra; multiplier; Fourier algebra; locally compact group; completely bounded multiplier; Hilbert space},
language = {eng},
number = {2},
pages = {311-313},
title = {A characterization of completely bounded multipliers of Fourier algebras},
url = {http://eudml.org/doc/210156},
volume = {63},
year = {1992},
}

TY - JOUR
AU - Jolissaint, Paul
TI - A characterization of completely bounded multipliers of Fourier algebras
JO - Colloquium Mathematicae
PY - 1992
VL - 63
IS - 2
SP - 311
EP - 313
LA - eng
KW - representation; C*-algebra; multiplier; Fourier algebra; locally compact group; completely bounded multiplier; Hilbert space
UR - http://eudml.org/doc/210156
ER -

References

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  1. [BF] M. Bożejko and G. Fendler, Herz-Schur multipliers and completely bounded multipliers of the Fourier algebra of a locally compact group, Boll. Un. Mat. Ital. (6) 3-A (1984), 297-302. Zbl0564.43004
  2. [dCH] J. de Cannière and U. Haagerup, Multipliers of the Fourier algebra of some simple Lie groups and their discrete subgroups, Amer. J. Math. 107 (1984), 455- 500. 
  3. [CH] M. Cowling and U. Haagerup, Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one, Invent. Math. 96 (1989), 507-549. Zbl0681.43012
  4. J. Dixmier, C*-Algebras, North-Holland, Amsterdam 1982. 
  5. [Gi] J. E. Gilbert, L p -convolution operators and tensor products of Banach spaces I, II, III, preprints. 
  6. [Pau] V. I. Paulsen, Completely Bounded Maps and Dilations, Longman Scientific & Technical, Harlow 1986. 

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