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Banach function algebras, arens regularity, and BSE norms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Banach function algebras, arens regularity, and BSE normsby Harold Garth Dales, Ali Ulger.
Author:	Dales, H. G.
other author:	Ulger, A.
Published:	Cham :Springer International Publishing :2024.
Description:	xii, 445 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Function algebras.
Online resource:	https://doi.org/10.1007/978-3-031-44532-3
ISBN:	9783031445323$q(electronic bk.)

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. 3..

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$q(electronic bk.)

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

661615
Function algebras.

LC Class. No.: QA326

Dewey Class. No.: 512.55

Banach function algebras, arens regularity, and BSE norms
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100 1 $a Dales, H. G. $3 764456
245 1 0 $a Banach function algebras, arens regularity, and BSE norms $h [electronic resource] / $c by Harold Garth Dales, Ali Ulger.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xii, 445 p. : $b ill., digital ; $c 24 cm.
490 1 $a CMS/CAIMS books in mathematics, $x 2730-6518 ; $v v. 12
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.
650 0 $a Function algebras. $3 661615
650 1 4 $a Functional Analysis. $3 274845
650 2 4 $a Measure and Integration. $3 273777
650 2 4 $a Linear Algebra. $3 821215
700 1 $a Ulger, A. $3 975697
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a CMS/CAIMS books in mathematics ; $v v. 3. $3 933936
856 4 0 $u https://doi.org/10.1007/978-3-031-44532-3
950 $a Mathematics and Statistics (SpringerNature-11649)

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