Similarity Problems and Completely Bounded Maps

Gilles Pisier (auth.)3540415246, 9783540415244

A collection of notes based on a course given in several international locations in previous years, with additional material in several chapters. A defining feature of the text is the solution to ‘the Halmos Problem.’ Text corresponds very closely to the structure of a set of lectures. Softcover.

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Table of contents :
Front Matter….Pages N2-vii
Introduction. Description of contents….Pages 1-12
Von Neumann’s inequality and Ando’s generalization….Pages 13-29
Non-unitarizable uniformly bounded group representations….Pages 30-52
Completely bounded maps….Pages 53-69
Completely bounded homomorphisms and derivations….Pages 70-91
Schur multipliers and Grothendieck’s inequality….Pages 92-106
Hankelian Schur multipliers. Herz-Schur multipliers….Pages 107-115
The similarity problem for cyclic homomorphisms on a C *-algebra….Pages 116-132
Completely bounded maps in the Banach space setting….Pages 133-142
Back Matter….Pages 143-161