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Titlebook: Generalized B*-Algebras and Applications; Maria Fragoulopoulou,Atsushi Inoue,Ioannis Zarakas Book 2022 The Editor(s) (if applicable) and T

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發(fā)表于 2025-3-21 19:47:46 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Generalized B*-Algebras and Applications
編輯Maria Fragoulopoulou,Atsushi Inoue,Ioannis Zarakas
視頻videohttp://file.papertrans.cn/383/382174/382174.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Generalized B*-Algebras and Applications;  Maria Fragoulopoulou,Atsushi Inoue,Ioannis Zarakas Book 2022 The Editor(s) (if applicable) and T
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
關(guān)鍵詞Generalized B*-Algebras; Unbounded *-Representations; Extended C*-Algebras; Extended W*-Algebras; Functi
版次1
doihttps://doi.org/10.1007/978-3-030-96433-7
isbn_softcover978-3-030-96432-0
isbn_ebook978-3-030-96433-7Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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沙發(fā)
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Computerized Tools: Allograft Selectionical justification for using tensor products. For example, tensor products are used to describe two quantum systems as one joint system, while the physical significance of tensor products always depends on the applications, which may involve wave functions, spin states, oscillators etc.
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發(fā)表于 2025-3-22 05:38:07 | 只看該作者
Book 2022 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.
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Generalized B*-Algebras: Functional Representation Theory,algebras is presented (Allan); namely, it is shown that each commutative GB*-algebra ., with an identity element, is algebraically *-isomorphic to the *-algebra . of all continuous .-valued functions on the Gelfand space . of the commutative C*-subalgebra . of ., which includes all bounded operators that . may have.
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發(fā)表于 2025-3-22 17:44:56 | 只看該作者
The Rotation Generation Process, .-collections defining the respective GB*-structures on . (Allan). Moreover, there exists a finest locally convex *-algebra topology on a commutative GB*-algebra . that is equivalent to the given topology ..
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