Title : ( Some notes on (σ,τ)-amenability of Banach algebras )
Authors: Mohammad Sal Moslehian , Abolfazl Niazi Motlagh ,
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Abstract
Let A be a Banach algebra and , be continuous homomorphisms on A. Suppose that X be a Banach A-bimodule. A linear mapping d : A −! X is a (, )-derivation if d(ab) = d(a)(b) + (a)d(b) (a, b 2 A), and is a (, )-inner derivation if there exists x 2 X such that d(a) = x(a) − (a)x (a 2 A). The Banach algebra A is called (, )-amenable if every (, )-derivation is (, )-inner. In this paper, we investigate the relation between amenability and (, )-amenability of Banach algebras and also hereditary properties of (, )-amenability. We give the notion -virtual diagonal and -approximate diagonal and apply them in study of -amenability.
Keywords
, (, )-derivation, (, )-inner derivation, (, )-amenability, (, )-contractibility, approximate identity, Banach algebra, Banach module.
@article{paperid:1008003,
author = {Sal Moslehian, Mohammad and Niazi Motlagh, Abolfazl},
title = {Some notes on (σ,τ)-amenability of Banach algebras},
journal = {Studia Universitatis Babes-Bolyai Mathematica},
year = {2008},
number = {3},
month = {June},
issn = {0252-1938},
pages = {57--68},
numpages = {11},
keywords = {(; )-derivation; (; )-inner derivation; (; )-amenability;
(; )-contractibility; approximate identity; Banach algebra; Banach module.},
}
%0 Journal Article
%T Some notes on (σ,τ)-amenability of Banach algebras
%A Sal Moslehian, Mohammad
%A Niazi Motlagh, Abolfazl
%J Studia Universitatis Babes-Bolyai Mathematica
%@ 0252-1938
%D 2008
