On (Co)Homology of Triangular Banach Algebras

Details On (Co)Homology of Triangular Banach Algebras On (Co)Homology of Triangular Banach Algebras

2005-01-04

arxiv.org/abs/math/0501047v1

Topological algebras, their applications, and related topics, 271--276, Banach Center Publ., 67, Polish Acad. Sci., Warsaw, 20

Mathematics

Functional Analysis

10 pages

Scientific paper

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.

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