| 书目名称 | Partial *- Algebras and Their Operator Realizations | | 编辑 | Jean-Pierre Antoine,Atsushi Inoue,Camillo Trapani | | 视频video | http://file.papertrans.cn/742/741461/741461.mp4 | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Algebras of bounded operators are familiar, either as C.*.-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O.*.-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. Schmüdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial .*.-algebras of unbounded operators (partial O.*.-algebras) and the underlying algebraic structure, namely, partial .*.-algebras. It is the first textbook on this topic. .The first part is devoted to partial O.*.-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. .The second part focuses on abstract partial .*.-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue). | | 出版日期 | Book 2002 | | 关键词 | C*-algebra; Hilbert space; Topology; algebra; theorem | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-0065-8 | | isbn_softcover | 978-90-481-6176-8 | | isbn_ebook | 978-94-017-0065-8 | | copyright | Springer Science+Business Media Dordrecht 2002 |
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