n-Weak Amenability of T-Lau Product of Banach Algebras

Authors

  • Ali Reza Khoddami

Keywords:

n-weak amenability, Lau product, derivation, module action

Abstract

Given a morphism gif.latex?T from a Banach algebra gif.latex?B into a commutative Banach algebra gif.latex?A, we explain explicitly the derivations from gif.latex?T-Lau product gif.latex?A&space;\times_{T}&space;B into its gif.latex?n^{th}-dual gif.latex?(A&space;\times_{T}&space;B)^{(n)} from which we obtain general necessary and sufficient conditions for gif.latex?A&space;\times_{T}&space;B to be gif.latex?n-weakly amenable.

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Published

2019-12-16

Issue

Section

Research Articles