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Paper   IPM / M / 494
School of Mathematics
  Title:   Contractability of l1-Munn algebras with applications
  Author(s): 
1.  G. H. Esslamzadeh
2.  T. Esslamzadeh
  Status:   Published
  Journal: Semigroup Forum
  Vol.:  63
  Year:  2001
  Pages:   1-10
  Supported by:  IPM
  Abstract:
A Banach algebra A is called contractible if every bounded derivation from A into any Banach A bimodule is inner. In this article we show that a l1-Munn algebra LM (A, P) is contractible if and only if A is contractible and L M (A, P) is unital. As a consequence, if a semigroup algebra l1(S) is contractible, then S is finite.

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