On (Co)Homology of Triangular Banach Algebras
Mohammad Sal Moslehian
Abstract
Suppose that A and B are unital Banach algebras with units 1A and 1B, 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, XAA=1AX1A, XBB=1BX1B, XAB=1AX1B and XBA=1BX1A. Applying two nice long exact sequences related to A, B, T, X, XAA, XBB, XAB and XBA we establish some results on (co)homology of triangular Banach algebras.
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