| 书目名称 | Local Multipliers of C*-Algebras | | 编辑 | Pere Ara,Martin Mathieu | | 视频video | | | 概述 | No other book on C*-algebra covers local multipliers of C*-algebras.This book includes applications that have not yet appeared in print, from respected experts in the field | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too ‘small‘ to contain solutions of these equa tions and thus it has to be ‘enlarged‘ in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C*-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small | | 出版日期 | Book 2003 | | 关键词 | C*-algebra; algebra; automorphism; operator theory; ring | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4471-0045-4 | | isbn_softcover | 978-1-4471-1068-2 | | isbn_ebook | 978-1-4471-0045-4Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag London 2003 |
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发表于 2025-3-21 18:05:44
