| 书目名称 | Generalized B*-Algebras and Applications | | 编辑 | Maria Fragoulopoulou,Atsushi Inoue,Ioannis Zarakas | | 视频video | | | 概述 | Offers a synthesis of the existing theory of GB*-Algebras.Suitable for PhD courses.Useful for researchers in both topological and operator algebras | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This book reviews the theory of ‘generalized B*-algebras‘ (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions. A functional calculus and a spectral theory for GB*-algebras is presented, together with results such as Ogasawara‘s commutativity condition, Gelfand–Naimark type theorems, a Vidav–Palmer type theorem, an unbounded representation theory, and miscellaneous applications. . .Numerous contributions to the subject have been made since its initiation by G.R. Allan in 1967, including the notable early work of his student P.G. Dixon. Providing an exposition of existing research in the field, the book aims to make this growing theory as familiar as possible to postgraduate students interested in functional analysis, (unbounded) operator theory and its relationship to mathematical physics. It also addresses researchers interested in extensions of the celebrated theory of C*-algebras.. | | 出版日期 | Book 2022 | | 关键词 | Generalized B*-Algebras; Unbounded *-Representations; Extended C*-Algebras; Extended W*-Algebras; Functi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-96433-7 | | isbn_softcover | 978-3-030-96432-0 | | isbn_ebook | 978-3-030-96433-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:47:46
