(-1)-weak amenability of Unitized Banach Algebras
Keywords:
Banach algebra, Arens regular, (-1)-weak amenability, UnitizationAbstract
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 For a Banach algebra A, its second dual A'' is (-1)-weakly amenable
if A' is a Banach A''-bimodule and the first cohomology group of A'' with coefficients in A' is zero i.e. H1(A'',A') = {0}.
In this paper we give some conditions, under each of which A' is a Banach
A''-bimodule. We also investigate the relations between (-1)-weak amenability of A and A#, where A#is the unitization of A.
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