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

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.

Full Text

Article Information

Title	Vanishing of the first $(\sigma, \tau)$-cohomology group of triangular Banach algebras
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 351-360
MathSciNet	MR2469074
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

M. Khosravi
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

A.N. Motlagh
Department of Mathematics, Ferdowsi University, P. O. Box 1159, Mashhad 91775, Iran 

Citation Example

M. Khosravi, M. S. Moslehian, and A. N. Motlagh, Vanishing of the first $(\sigma, \tau)$-cohomology group of triangular Banach algebras, Methods Funct. Anal. Topology 14 (2008), no. 4, 351-360.

BibTex

@article {MFAT439,
    AUTHOR = {Khosravi, M. and Moslehian, M. S. and Motlagh, A. N.},
     TITLE = {Vanishing of the first $(\sigma,	\tau)$-cohomology group of triangular Banach algebras},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {351-360},
      ISSN = {1029-3531},
  MRNUMBER = {MR2469074},
       URL = {http://mfat.imath.kiev.ua/article/?id=439},
}