| Module amenability of Banach algebras Contributor(s): Bodaghi, Abasalt (Author) |
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ISBN: 3848414457 ISBN-13: 9783848414451 Publisher: LAP Lambert Academic Publishing OUR PRICE: $69.77 Product Type: Paperback Published: February 2012 |
| Additional Information |
| BISAC Categories: - Mathematics |
| Physical Information: 0.44" H x 6" W x 9" (0.64 lbs) 192 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |