On (Co)homology of triangular Banach algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2005Embargo end date: 01 Jan 2005Publisher:Institute of Mathematics Polish Academy of SciencesJournal:Banach Center Publications

Authors: Moslehian, Mohammad Sal;

doi: 10.4064/bc67-0-22 , 10.48550/arxiv.math/0501047

arXiv: math/0501047

On (Co)homology of triangular Banach algebras

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Abstract

Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unital T-bimodule, X_{AA}=1_AX1_A, X_{BB}=1_BX1_B, X_{AB}=1_AX1_B and X_{BA}=1_BX1_A. Applying two nice long exact sequences related to A, B, T, X, X_{AA}, X_{BB}, X_{AB} and X_{BA} we establish some results on (co)homology of triangular Banach algebras.

10 pages

Related Organizations

Ferdowsi University of Mashhad
Iran (Islamic Republic of)
Institute for Research in Fundamental Sciences
Iran (Islamic Republic of)

Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Primary 46H25, Secondary 46M18, 16E40, Functional Analysis (math.FA)

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