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Titlebook: Boolean Valued Analysis; A. G. Kusraev,S. S. Kutateladze Book 1999 Springer Science+Business Media Dordrecht 1999 Banach algebra.Banach sp

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樓主
發(fā)表于 2025-3-21 17:59:45 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Boolean Valued Analysis
影響因子2023A. G. Kusraev,S. S. Kutateladze
視頻videohttp://file.papertrans.cn/190/189786/189786.mp4
學(xué)科分類Mathematics and Its Applications
圖書封面Titlebook: Boolean Valued Analysis;  A. G. Kusraev,S. S. Kutateladze Book 1999 Springer Science+Business Media Dordrecht 1999 Banach algebra.Banach sp
影響因子.Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe...This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly. ..Audience:. This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models. .
Pindex Book 1999
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Book 1999set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the proce
板凳
發(fā)表于 2025-3-22 02:42:00 | 只看該作者
https://doi.org/10.1007/978-94-011-4443-8Banach algebra; Banach space; Boolean algebra; C*-algebra; Volume; algebra; banach spaces; character; constr
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Universes of Sets,s one, that is, every totality of definite elements which can be united to a whole through a law” or “every collection into a whole . of definite and separate objects . of our perception or our thought” [26].
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https://doi.org/10.1007/3-540-45503-5The theory of Banach algebras is one of the most attractive traditional sections of functional analysis. This chapter presents the basic results of Boolean valued analysis of involutive Banach algebras.
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