数学季刊 ›› 1996, Vol. 11 ›› Issue (4): 67-72.

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Decomposable  Multipliers  on  a  Banach  Algebra

  

  1. Department of Mathematics,Southwest Normal  University,630715


  • 收稿日期:1995-11-08 出版日期:1996-12-30 发布日期:2024-12-23

Decomposable  Multipliers  on  a  Banach  Algebra

  1. Department of Mathematics,Southwest Normal  University,630715
  • Received:1995-11-08 Online:1996-12-30 Published:2024-12-23

摘要: The author show that if A is a complex abelian Banach algebra with an identity,then the decomposability of T∈M(A),the set of all multipliers on A,implies that the corresponding multiplication operator T:M(A)→M(A) is decomposable;moreover,in the Hilbert algebras case the assumation that A is abelian and A has an identity can be released.Those results are partially answers to a question raised by K.B.Laursen and M.M.Neumann [5].


关键词:  , decomposable operators, Banach algebra, multipliers

Abstract: The author show that if A is a complex abelian Banach algebra with an identity,then the decomposability of T∈M(A),the set of all multipliers on A,implies that the corresponding multiplication operator T:M(A)→M(A) is decomposable;moreover,in the Hilbert algebras case the assumation that A is abelian and A has an identity can be released.Those results are partially answers to a question raised by K.B.Laursen and M.M.Neumann [5].


Key words:  , decomposable operators, Banach algebra, multipliers

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