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＜電子ブック＞
Banach Function Algebras, Arens Regularity, and BSE Norms / by Harold Garth Dales, Ali Ülger
(CMS/CAIMS Books in Mathematics. ISSN:27306518 ; 12)

版	1st ed. 2024.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2024
本文言語	英語
大きさ	XII, 445 p. 2 illus., 1 illus. in color : online resource
著者標目	*Dales, Harold Garth author Ülger, Ali author SpringerLink (Online service)
件　名	LCSH:Functional analysis LCSH:Measure theory LCSH:Algebras, Linear FREE:Functional Analysis FREE:Measure and Integration FREE:Linear Algebra
一般注記	Banach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity 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 HTTP:URL=https://doi.org/10.1007/978-3-031-44532-3

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