Articles liés à Banach Algebras and Automatic Continuity

Banach Algebras and Automatic Continuity - Couverture rigide

Dales, H. Garth

 
9780198500131: Banach Algebras and Automatic Continuity
Couverture rigide
ISBN 10 : 0198500130 ISBN 13 : 9780198500131
Editeur : Oxford University Press, 2001

Synopsis

Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras, and shows how their topology is often determined by their algebraic structure: the central questions ask when homomorphisms and derivations from Banach algebras are automatically continuous, and seek canonical forms for these maps. The book synthesizes work over the last 20 years, and gives a definitive account; there are many new and unpublished results. The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C*-algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebra, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained. This volume is essential reading for anyone interested in any aspect of this vast subject.

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

Présentation de l'éditeur

Banach algebras combine algebraic and analytical aspects: it is the interplay of these structures that gives the subject its fascination. This volume expounds the general theory of Banach algebras, and shows how their topology is often determined by their algebraic structure: the central questions ask when homomorphisms and derivations from Banach algebras are automatically continuous, and seek canonical forms for these maps. The book synthesizes work over the last 20 years, and gives a definitive account; there are many new and unpublished results. The book describes many specific classes of Banach algebras, including function algebras, group algebras, algebras of operators, C*-algebras, and radical Banach algebras; it is a compendium of results on these examples. The subject interweaves algebra, functional analysis, and complex analysis, and has a dash of set theory and logic; the background in all these areas is fully explained. This volume is essential reading for anyone interested in any aspect of this vast subject.

Revue de presse

This very comprehensive monograph represents a monumental work and a major achievement in the modern literature on Banach algebras and automatic continuity. (Journal of Operator Theory)

This is a masterful exposition by one of the leading contributors to the field. For the worker in the area, the volume will be indispensable. (Bulletin of the London Mathematical Society)

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Oxford University Press
Date d'édition
2001
Langue
anglais
ISBN 10 
0198500130
ISBN 13 
9780198500131
Reliure
Relié
Nombre de pages
926
Coordonnées du fabricant
Oxford University Press
https://corp.oup.com/

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