| 书目名称 | Similarity Problems and Completely Bounded Maps | | 编辑 | Gilles Pisier | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | These notes revolve around three similarity problems, appearing in three dif ferent 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 open 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. For instance, we are naturally lead to study various Banach spaces formed by the matrix coefficients of group representations. Furthermore, we discuss the closely connected Schur multipliers and Grothendieck‘s striking characterization of those which act boundedly on B(H). 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. In some sense, completely bounded maps can also be viewed as spaces of "coefficients" of C*-algebraic representations, if we al | | 出版日期 | Book 19961st edition | | 关键词 | 42B30; 43A65; 46E40; 46L05; 46L57; 47A05; 47A20; 47B10; 47C15; 47L20; Completely bounded representation; H (p) | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-21537-1 | | isbn_ebook | 978-3-662-21537-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1996 |
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发表于 2025-3-21 17:41:18
