Ideal Amenability of Banach Algebras and Some Hereditary Properties

author

  • M. Eshaghi Gordji
Abstract:

Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability.

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Journal title

volume 21  issue 4

pages  -

publication date 2010-12-01

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