Module amenability of Banach algebras: Module amenability, n-weak module amenability and module character amenability for semigroup algebras - Couverture souple

Bodaghi, Abasalt

 
9783848414451: Module amenability of Banach algebras: Module amenability, n-weak module amenability and module character amenability for semigroup algebras
Couverture souple
ISBN 10 : 3848414457 ISBN 13 : 9783848414451
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

In this monograph, some new notions of module amenability such as module contractibility, module character amenability and n-weak module amenability for Banach algebras are introduced and some hereditary properties are given. For an inverse semigroup S with subsemigroup E of idempotents, module character amenability of the semigroup algebra l^1(S) is shown to be equivalent to S being amenable. Also, it is proved that l^1(S) is permanently weakly module amenable. The concept of module Arens regularity for Banach algebras and bilinear maps are introduced and they are characterized. The module topological centers of second dual of a Banach algebra are defined and they are found for l^1(S)**. It is proved that l^1 (S)** is module amenable (as an l^1(E)-module) if and only if a maximal group homomorphic image of S is finite. Finally, it is shown under what conditions l^1(S) is module biflat and module biprojective.

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

Présentation de l'éditeur

In this monograph, some new notions of module amenability such as module contractibility, module character amenability and n-weak module amenability for Banach algebras are introduced and some hereditary properties are given. For an inverse semigroup S with subsemigroup E of idempotents, module character amenability of the semigroup algebra l^1(S) is shown to be equivalent to S being amenable. Also, it is proved that l^1(S) is permanently weakly module amenable. The concept of module Arens regularity for Banach algebras and bilinear maps are introduced and they are characterized. The module topological centers of second dual of a Banach algebra are defined and they are found for l^1(S)**. It is proved that l^1 (S)** is module amenable (as an l^1(E)-module) if and only if a maximal group homomorphic image of S is finite. Finally, it is shown under what conditions l^1(S) is module biflat and module biprojective.

Biographie de l'auteur

Abasalt Bodaghi is Assistant Professor of Mathematics at Islamic Azad University. He received his PhD from Science and Research Branch(IAU) in 2009. His publications include several papers in international journals. In 2011, he was also awarded Excellent Performance Award from INSPEM in UPM. His area of interest are Harmonic Analysis and Stability.

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

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3848414457
ISBN 13 
9783848414451
Reliure
Broché
Nombre de pages
192
Coordonnées du fabricant
non disponible
Personne responsable
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