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Similarity Problems and Completely Bounded Maps (Paperback, 2nd exp. ed. 2001) Loot Price: R1,121
Discovery Miles 11 210
Similarity Problems and Completely Bounded Maps (Paperback, 2nd exp. ed. 2001): Gilles Pisier

Similarity Problems and Completely Bounded Maps (Paperback, 2nd exp. ed. 2001)

Gilles Pisier

Series: Lecture Notes in Mathematics, 1618

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Loot Price R1,121 Discovery Miles 11 210 | Repayment Terms: R105 pm x 12*

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These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness," which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 1618
Release date: February 2001
First published: 2001
Authors: Gilles Pisier
Dimensions: 235 x 155 x 14mm (L x W x T)
Format: Paperback
Pages: 202
Edition: 2nd exp. ed. 2001
ISBN-13: 978-3-540-41524-4
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN: 3-540-41524-6
Barcode: 9783540415244

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