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

Bodaghi, Abasalt

Softcover

ISBN 10: 3848414457 ISBN 13: 9783848414451

Publisher: 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.

About this title

About the Author

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.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2012
• Language: English
• ISBN 10: 3848414457
• ISBN 13: 9783848414451
• Binding: Paperback
• Number of pages: 192