Banach Function Algebras, Arens Regularity, and BSE Norms: CMS/CAIMS Books in Mathematics, cartea 12
Autor Harold Garth Dales, Ali Ülgeren Limba Engleză Hardback – 20 feb 2024
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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Specificații
ISBN-13: 9783031445316
ISBN-10: 3031445317
Pagini: 445
Ilustrații: XII, 445 p. 2 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.82 kg
Ediția:1st ed. 2024
Editura: Springer International Publishing
Colecția Springer
Seria CMS/CAIMS Books in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3031445317
Pagini: 445
Ilustrații: XII, 445 p. 2 illus., 1 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.82 kg
Ediția:1st ed. 2024
Editura: Springer International Publishing
Colecția Springer
Seria CMS/CAIMS Books in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
Banach spaces and operators.- Banach algebras.- Banach function algebras.- Banach algebras on locally compact groups.- BSE norms and BSE algebras.- Arens regularity.
Textul de pe ultima copertă
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.
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.
Caracteristici
Develops the theory of Banach algebras Features novel chapters on BSE norms, Arens regularity, and strong Arens irregularity Includes new results