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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.


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Article Information

TitleVanishing of the first $(\sigma, \tau)$-cohomology group of triangular Banach algebras
SourceMethods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 351-360
MathSciNet MR2469074
CopyrightThe 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 


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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},
       URL = {http://mfat.imath.kiev.ua/article/?id=439},
}


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