東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Banach function algebras, arens regularity, and BSE norms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Banach function algebras, arens regularity, and BSE norms/ by 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.
[NT 15003449]:	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
Subject:	Function algebras. -
Online resource:	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
LDR:02039nmm a2200337 a 4500 001 2369225
003 DE-He213
005 20240219105613.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031445323 $q (electronic bk.)
020 $a 9783031445316 $q (paper)
024 7 $a 10.1007/978-3-031-44532-3 $2 doi
035 $a 978-3-031-44532-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA326
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 512.55 $2 23
090 $a QA326 $b .D141 2024
100 1 $a Dales, H. G. $3 3206156
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 710320
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Linear Algebra. $3 3338825
700 1 $a Ulger, A. $3 3713736
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a CMS/CAIMS books in mathematics ; $v v. 12. $3 3713737
856 4 0 $u https://doi.org/10.1007/978-3-031-44532-3
950 $a Mathematics and Statistics (SpringerNature-11649)