Format:
1 Online-Ressource (XII, 445 Seiten)
ISBN:
9783031445323
Series Statement:
CMS/CAIMS books in mathematics volume 12
Content:
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.
Note:
Banach spaces and operators -- Banach algebras -- Banach function algebras -- Banach algebras on locally compact groups -- BSE norms and BSE algebras -- Arens regularity.
Additional Edition:
ISBN 9783031445316
Additional Edition:
ISBN 9783031445330
Additional Edition:
ISBN 9783031445347
Additional Edition:
Erscheint auch als Druck-Ausgabe Dales, H. Garth, 1944 - Banach function algebras, arens regularity, and BSE norms Cham, Switzerland : Springer Nature, 2024 ISBN 9783031445316
Additional Edition:
ISBN 9783031445330
Additional Edition:
ISBN 9783031445347
Language:
English
DOI:
10.1007/978-3-031-44532-3
