Title : ( VANISHING OF THE FIRST (σ, τ )-COHOMOLOGY GROUP OF TRIANGULAR BANACH ALGEBRAS )
Authors: M.KHOSRAVI , Mohammad Sal Moslehian , Abolfazl Niazi Motlagh ,
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Abstract
In this paper, we define the first topological (σ, τ )-cohomology group and examine vanishing of the first (σ, τ )-cohomology groups of certain triangular Banach algebras. We apply our results to study the (σ, τ )-weak amenability and (σ, τ )-amenability of triangular Banach algebras.
Keywords
, Banach algebra, triangular Banach algebra, Banach bimodule, (σ, τ )- derivation, first (σ, τ )-cohomology group, (σ, τ )-amenability, (σ, τ )-weak amenability
@article{paperid:1010540,
author = {M.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 = {December},
issn = {1029-3531},
pages = {351--360},
numpages = {9},
keywords = {Banach algebra; triangular Banach algebra; Banach bimodule; (σ; τ )-
derivation; first (σ; τ )-cohomology group; (σ; τ )-amenability; (σ; τ )-weak amenability},
}
%0 Journal Article
%T VANISHING OF THE FIRST (σ, τ )-COHOMOLOGY GROUP OF TRIANGULAR BANACH ALGEBRAS
%A M.KHOSRAVI
%A Sal Moslehian, Mohammad
%A Niazi Motlagh, Abolfazl
%J Methods of Functional Analysis and Topology
%@ 1029-3531
%D 2008
