| 书目名称 | Similarity Problems and Completely Bounded Maps | | 编辑 | Gilles Pisier | | 视频video | | | 概述 | Two chapters have been added on the HALMOS and KADISON similarity problems.Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Book 2001Latest edition | | 关键词 | Algebra; Completely bounded representation; H (p) spaces; Harmonic analysis; Hilbert space; Polynomially | | 版次 | 2 | | doi | https://doi.org/10.1007/b55674 | | isbn_softcover | 978-3-540-41524-4 | | isbn_ebook | 978-3-540-44563-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2001 |
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发表于 2025-3-21 19:03:53
