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Vanishing of the first $(σ,τ)$-cohomology group of triangular Banach algebras

M. Khosravi·M. S. Moslehian·A. N. 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.

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M. Khosravi, M. S. Moslehian, A. N. Motlagh. 2007-08-24. Vanishing of the first $(σ,τ)$-cohomology group of triangular Banach algebras. https://arxiv.org/abs/math/0502346

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