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Titlebook: Banach Function Algebras, Arens Regularity, and BSE Norms; Harold Garth Dales,Ali Ülger Book 2024 The Editor(s) (if applicable) and The Au

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发表于 2025-3-21 18:29:10 | 显示全部楼层 |阅读模式
期刊全称Banach Function Algebras, Arens Regularity, and BSE Norms
影响因子2023Harold Garth Dales,Ali Ülger
视频video
发行地址Develops the theory of Banach algebras.Features novel chapters on BSE norms, Arens regularity, and strong Arens irregularity.Includes new results
学科分类CMS/CAIMS Books in Mathematics
图书封面Titlebook: Banach Function Algebras, Arens Regularity, and BSE Norms;  Harold Garth Dales,Ali Ülger Book 2024 The Editor(s) (if applicable) and The Au
影响因子.This book is about semisimple Banach algebras with a focus on those that are commutative. .After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties. .Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results..The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.. .
Pindex Book 2024
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2730-650X sults.This book is about semisimple Banach algebras with a focus on those that are commutative. .After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analys
发表于 2025-3-22 06:16:48 | 显示全部楼层
Halogene: Elemente der siebten Hauptgruppe,d Beurling algebras on semigroups and locally compact groups. The product in each of these algebras is given by convolution, denoted by .. For example, . is an isometric dual Banach algebra, with Banach-algebra predual ., for each locally compact group .. The definitions and some basic properties of these algebras will be recalled in ..
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https://doi.org/10.1007/978-3-7091-7968-0fimum of the constants . that satisfy the above inequality is .. This theorem is proved in the text of Rudin [276, Theorem 1.9.1], for example. This basic theorem for abelian groups was proved by Bochner [22] in the case where .; an integral analogue was given by Schoenberg [291]; the case for general abelian groups was given by Eberlein in [92].
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Banach algebras, von Neumann algebra, called the ‘enveloping von Neumann algebra’. However, the group algebra . of a group . is not Arens regular whenever . is infinite. These ideas will be substantially developed in Chapter .. We shall also consider when a Banach algebra is an ideal in its bidual.
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