Vanishing of the first $(\sigma, \tau)$-cohomology group of triangular Banach algebras

Authors

  • A. N. Motlagh Department of Mathematics, Teacher Training University, Tehran, Iran; Banach Mathematical Research Group (BMRG), Mashhad, Iran
  • M. S. Moslehian Department of Mathematics, Ferdowsi University, P. O. Box 1159, Mashhad 91775, Iran; Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University, Iran
  • M. Khosravi Department of Mathematics, Ferdowsi University, P. O. Box 1159, Mashhad 91775, Iran 

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Abstract

In this paper, we define the first topological $(\sigma,\tau)$-cohomology group and examine vanishing of the first $(\sigma,\tau)$-cohomology groups of certain triangular Banach algebras. We apply our results to study the $(\sigma,\tau)$-weak amenability and $(\sigma,\tau)$-amenability of triangular Banach algebras.

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Published

2008-12-25

Issue

Vol. 14 No. 4 (2008)

Section

Articles

How to Cite

Motlagh, A. N., et al. “Vanishing of the First $(\sigma, \tau)$-Cohomology Group of Triangular Banach Algebras”. Methods of Functional Analysis and Topology, vol. 14, no. 4, Dec. 2008, pp. 351-60, https://zen.imath.kiev.ua/index.php/mfat/article/view/398.