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Titlebook: An Invitation to Unbounded Representations of ?-Algebras on Hilbert Space; Konrad Schmüdgen Textbook 2020 The Editor(s) (if applicable) an

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發(fā)表于 2025-3-21 18:13:37 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱An Invitation to Unbounded Representations of ?-Algebras on Hilbert Space
影響因子2023Konrad Schmüdgen
視頻videohttp://file.papertrans.cn/156/155650/155650.mp4
發(fā)行地址Provides an accessible introduction to basic results and notions of unbounded representation theory.Contains an extensive study of representations of the Weyl algebra and the commutation relation of q
學(xué)科分類Graduate Texts in Mathematics
圖書封面Titlebook: An Invitation to Unbounded Representations of ?-Algebras on Hilbert Space;  Konrad Schmüdgen Textbook 2020 The Editor(s) (if applicable) an
影響因子This textbook provides an introduction to representations of general ?-algebras by unbounded operators on Hilbert space, a topic that naturally arises in quantum mechanics but has so far only been properly treated in advanced monographs aimed at researchers. .The book covers both the general theory of unbounded representation theory on Hilbert space as well as representations of important special classes of ?-algebra, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated in book form for the first time, including group graded ?-algebras, the transition probability of states, Archimedean quadratic modules, noncommutative Positivstellens?tze, induced representations, well-behaved representations and representations on rigged modules..Making advanced material accessible to graduate students, this book will appeal to students and researchers interested in advanced functional analysis and mathematical physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make
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發(fā)表于 2025-3-21 22:55:21 | 只看該作者
0072-5285 cal physics, and with many exercises it can be used for courses on the representation theory of Lie groups and its application to quantum physics. A rich selection of material and bibliographic notes also make 978-3-030-46368-7978-3-030-46366-3Series ISSN 0072-5285 Series E-ISSN 2197-5612
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An Invitation to Unbounded Representations of ?-Algebras on Hilbert Space
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Ursachen der Kapitalismuskritik,n of real .-algebras, crossed product .-algebras, matrix algebras) and important classes (group graded .-algebras, hermitian and symmetric .-algebras) and examples (semigroup .-algebras, algebras defined by relations) of .-algebras are developed. Basic notions (positive linear functionals, states, c
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Die Katalytische Aktivierung des Schwefelsctionals of finite-dimensional representations and faithful representations are constructed. Topological tensor algebras such as the field algebra of quantum field theory and corresponding continuous representations are developed.
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