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Titlebook: Partial *- Algebras and Their Operator Realizations; Jean-Pierre Antoine,Atsushi Inoue,Camillo Trapani Book 2002 Springer Science+Business

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書目名稱Partial *- Algebras and Their Operator Realizations
編輯Jean-Pierre Antoine,Atsushi Inoue,Camillo Trapani
視頻videohttp://file.papertrans.cn/742/741461/741461.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Partial *- Algebras and Their Operator Realizations;  Jean-Pierre Antoine,Atsushi Inoue,Camillo Trapani Book 2002 Springer Science+Business
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
關鍵詞C*-algebra; Hilbert space; Topology; algebra; theorem
版次1
doihttps://doi.org/10.1007/978-94-017-0065-8
isbn_softcover978-90-481-6176-8
isbn_ebook978-94-017-0065-8
copyrightSpringer Science+Business Media Dordrecht 2002
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Jean-Pierre Antoine,Atsushi Inoue,Camillo Trapanirough which citizenship and national identity are (re)constructed, with embedded messages about whobelongs and how social belonging is achieved. The essays in this volume illuminate varied and complex inter-relationships between education, conflict, and national identity, while accounting for ways i
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Unbounded Linear Operators in Hilbert Spaces linear operators. Section 1.8 introduces Nelson’s analytic vector theorem for the selfadjointness of closed symmetric operators. Section 1.9, finally, deals with the form representation theorem and the Friedrichs self-adjoint extension theorem.
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Jean-Pierre Antoine,Atsushi Inoue,Camillo Trapaniabout whobelongs and how social belonging is achieved. The essays in this volume illuminate varied and complex inter-relationships between education, conflict, and national identity, while accounting for ways i978-94-6300-860-0
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