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The main result of this article is to factorize the first (σ, τ)-cohomology group of triangular Banach algebra �� of order three with coefficients in �� -bimodule �� to the first (σ, τ)-cohomology groups of Banach algbras ��, �� and ��, where σ, τ are continuous homomorphisms on ��. As a direct consequence, we find necessary and sufficient conditions for �� to be (σ, τ)-weakly amenable.
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참고문헌 (20)
참고문헌 신청
W. G. Bade / 1987 / Amenability and weak amenability for Beurling and Lipschits algebra / Proc. London Math. Soc 55(3):359~377
A. Bodaghi / 2014 / Generalized notion of weak module amenability / Hacettepe J. Math. Stat 43(1):85~95
A. Bodaghi / 2010 / Module (ϕ, ψ)-amenability of Banach algeras / Arch. Math (Brno) 46(4):227~235
A. Bodaghi / 2009 / A generalization of the weak amenability of Banach algebras / Banach J. Math. Anal 3(1):131~142
A. Bodaghi / 2014 / A generalized notion of n-weak amenability / Math. Bohemica 139(1):99~112
A. Bodaghi / 2014 / Generalized notion of weak module amenability / Hacettepe J. Math. Stat 43(1):85~95
A. Bodaghi / 2010 / Module (ϕ, ψ)-amenability of Banach algeras / Arch. Math (Brno) 46(4):227~235
A. Bodaghi / 2009 / A generalization of the weak amenability of Banach algebras / Banach J. Math. Anal 3(1):131~142
A. Bodaghi / 2014 / A generalized notion of n-weak amenability / Math. Bohemica 139(1):99~112
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