Title : ( Vanishing of the first (σ,τ)-cohomology group of triangular Banach algebras )
Authors: Maryam Khosravi , Mohammad Sal Moslehian , Abolfazl Niazi Motlagh ,
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Abstract
In this paper, we define the first topological (, )-cohomology group and examine vanishing of the first (, )-cohomology groups of certain triangular Banach algebras. We apply our results to study the (, )-weak amenability and (, )-amenability of triangular Banach algebras.
Keywords
, Banach algebra, triangular Banach algebra, Banach bimodule, (, )-derivation, first (, )-cohomology group, (, )-amenability, (, )-weak amenability.
@article{paperid:1006980,
author = {Maryam Khosravi and Sal Moslehian, Mohammad and Niazi Motlagh, Abolfazl},
title = {Vanishing of the first (σ,τ)-cohomology group of triangular Banach algebras},
journal = {Methods of Functional Analysis and Topology},
year = {2008},
volume = {14},
number = {4},
month = {June},
issn = {1029-3531},
pages = {351--360},
numpages = {9},
keywords = {Banach algebra; triangular Banach algebra; Banach bimodule; (; )-derivation;
first (; )-cohomology group; (; )-amenability; (; )-weak amenability.},
}
%0 Journal Article
%T Vanishing of the first (σ,τ)-cohomology group of triangular Banach algebras
%A Maryam Khosravi
%A Sal Moslehian, Mohammad
%A Niazi Motlagh, Abolfazl
%J Methods of Functional Analysis and Topology
%@ 1029-3531
%D 2008
