Banach Function Algebras, Arens Regularity, and BSE Norms - Couverture souple

Dales, Harold Garth; Ülger, Ali

 
9783031445347: Banach Function Algebras, Arens Regularity, and BSE Norms

Synopsis

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.


Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783031445316: Banach Function Algebras, Arens Regularity, and Bse Norms

Edition présentée

ISBN 10 :  3031445317 ISBN 13 :  9783031445316
Editeur : Springer International Publishin..., 2024
Couverture rigide