A characterization of completely bounded multipliers of Fourier algebras

ArticleOriginal scientific text

Title

Authors ¹

Institut de Mathématiques, Université de Neuchâtel, Chantemerle 20, 2000 Neuchâtel, Switzerland

representation, C*-algebra, multiplier, Fourier algebra

[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.
[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.
[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.
J. Dixmier, C*-Algebras, North-Holland, Amsterdam 1982.
[Gi] J. E. Gilbert, $L^{p}$ -convolution operators and tensor products of Banach spaces I, II, III, preprints.
[Pau] V. I. Paulsen, Completely Bounded Maps and Dilations, Longman Scientific & Technical, Harlow 1986.