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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.

### 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},
}