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Titlebook: Noncommutative Integration and Operator Theory; Peter G. Dodds,Ben de Pagter,Fedor A. Sukochev Book 2023 The Editor(s) (if applicable) and

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書(shū)目名稱(chēng)Noncommutative Integration and Operator Theory
編輯Peter G. Dodds,Ben de Pagter,Fedor A. Sukochev
視頻videohttp://file.papertrans.cn/668/667198/667198.mp4
概述Connects to previous approaches and relates to classical works in the field.Core exploration of noncommutative integration, both for students and for expert mathematicians.Overview on the theory of op
叢書(shū)名稱(chēng)Progress in Mathematics
圖書(shū)封面Titlebook: Noncommutative Integration and Operator Theory;  Peter G. Dodds,Ben de Pagter,Fedor A. Sukochev Book 2023 The Editor(s) (if applicable) and
描述The purpose of this monograph is to provide a systematic account of the theory of noncommutative integration in semi-finite von Neumann algebras. It is designed to serve as an introductory graduate level text as well as a basic reference for more established mathematicians with interests in the continually expanding areas of noncommutative analysis and probability. Its origins lie in two apparently distinct areas of mathematical analysis: the theory of operator ideals going back to von Neumann and Schatten and the general theory of rearrangement invariant Banach lattices of measurable functions which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.
出版日期Book 2023
關(guān)鍵詞Noncommutative Integration; Operator Theory; Banach Spaces; von Neumann Algebras; Noncommutative Analysi
版次1
doihttps://doi.org/10.1007/978-3-031-49654-7
isbn_softcover978-3-031-49656-1
isbn_ebook978-3-031-49654-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Book 2023s which has its roots in many areas of classical analysis related to the well-known Lp-spaces. A principal aim, therefore, is to present a general theory which contains each of these motivating areas as special cases.
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Singular Value Functions, and .-spaces are introduced, together with fundamental convergence theorems. In particular, noncommutative versions of the dominated convergence theorem and Fatou’s lemma are presented. The chapter concludes with a discussion of contractions in the noncommutative pair ..
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Symmetric Spaces of ,-Measurable Operators,ions, the discussion is specialized to the case of symmetric spaces of .-measurable operators, with particular attention given to the special case that the underlying von Neumann algebra is either non-atomic or atomic with all minimal projections having equal trace.
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Noncommutative Integration and Operator Theory978-3-031-49654-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Progress in Mathematicshttp://image.papertrans.cn/n/image/667198.jpg
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