This book is about semisimple Banach algebras with a focus on those that are commutative. 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 is extremely rich in the results displayed. … This allows the authors to cover a tremendous amount of material which makes the volume not only interesting for specialists, but also a reference text suitable for a wider audience. Specialists and nonspecialists alike will agree that this text is a pleasure to read.” (Dirk Werner, zbMATH 1546.46002, 2024)
Innehållsförteckning
Banach spaces and operators.- Banach algebras.- Banach function algebras.- Banach algebras on locally compact groups.- BSE norms and BSE algebras.- Arens regularity.