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Banach function algebras, arens regularity, and BSE norms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Banach function algebras, arens regularity, and BSE norms/ by Harold Garth Dales, Ali Ulger.
作者:	Dales, H. G.
其他作者:	Ulger, A.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xii, 445 p. :ill., digital ;24 cm.
內容註:	Banach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity.
Contained By:	Springer Nature eBook
標題:	Function algebras. -
電子資源:	https://doi.org/10.1007/978-3-031-44532-3
ISBN:	9783031445323

Banach function algebras, arens regularity, and BSE norms
Dales, H. G.

Banach function algebras, arens regularity, and BSE norms[electronic resource] /by Harold Garth Dales, Ali Ulger. - Cham :Springer International Publishing :2024. - xii, 445 p. :ill., digital ;24 cm. - CMS/CAIMS books in mathematics,v. 122730-6518 ;. - CMS/CAIMS books in mathematics ;v. 12..

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.

ISBN: 9783031445323

Standard No.: 10.1007/978-3-031-44532-3doiSubjects--Topical Terms:

710320
Function algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.55

Banach function algebras, arens regularity, and BSE norms
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505 0 $a Banach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity.
520 $a 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.
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