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Paper   IPM / M / 7397
School of Mathematics
  Title:   On (Co)homology of triangular Banach algebras
  Author(s):  M. Sal Moslehian
  Status:   In Proceedings
  Proceeding: Banach Center Publ.
  Vol.:  67
  Year:  2005
  Pages:   271-276
  Supported by:  IPM
  Abstract:
Suppose that A and B are unital Banach algebras with units 1A and 1B, respectively, M is a unital Banach A, B-module, T=[
A
M
0
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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