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Titlebook: Noncommutative Probability; I. Cuculescu,A. G. Oprea Book 1994 Springer Science+Business Media Dordrecht 1994 functional analysis.operator

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樓主
發(fā)表于 2025-3-21 17:52:44 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Noncommutative Probability
編輯I. Cuculescu,A. G. Oprea
視頻videohttp://file.papertrans.cn/668/667200/667200.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Noncommutative Probability;  I. Cuculescu,A. G. Oprea Book 1994 Springer Science+Business Media Dordrecht 1994 functional analysis.operator
描述The intention of this book is to explain to a mathematician having no previous knowledge in this domain, what "noncommutative probability" is. So the first decision was not to concentrate on a special topic. For different people, the starting points of such a domain may be different. In what concerns this question, different variants are not discussed. One such variant comes from Quantum Physics. The motivations in this book are mainly mathematical; more precisely, they correspond to the desire of developing a probability theory in a new set-up and obtaining results analogous to the classical ones for the newly defined mathematical objects. Also different mathematical foundations of this domain were proposed. This book concentrates on one variant, which may be described as "von Neumann algebras". This is true also for the last chapter, if one looks at its ultimate aim. In the references there are some papers corresponding to other variants; we mention Gudder, S.P. &al (1978). Segal, I.E. (1965) also discusses "basic ideas".
出版日期Book 1994
關(guān)鍵詞functional analysis; operator algebra; probability; probability theory; stochastic calculus
版次1
doihttps://doi.org/10.1007/978-94-015-8374-9
isbn_softcover978-90-481-4470-9
isbn_ebook978-94-015-8374-9
copyrightSpringer Science+Business Media Dordrecht 1994
The information of publication is updating

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沙發(fā)
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地板
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5#
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Jordan Algebras,s is not selfadjoint, another is to have a commutative multiplication. There are also reasons coming from results about mappings between C*-algebras, in which the conclusion is that they are not *-homomorphisms but only “Jordan homomorphisms”.
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Mathematics and Its Applicationshttp://image.papertrans.cn/n/image/667200.jpg
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https://doi.org/10.1007/978-94-015-8374-9functional analysis; operator algebra; probability; probability theory; stochastic calculus
8#
發(fā)表于 2025-3-22 22:02:55 | 只看該作者
Probability on von Neumann Algebras,The theory in chapter 1 leading to the central limit theorem was developped on L(H), H being a Hilbert space, and the canonical Weyl system enabled us to define a sort of convolution in L(H)..
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