Multipliers, Self-Induced and Dual Banach Algebras

  title={Multipliers, Self-Induced and Dual Banach Algebras},
  author={Matthew Daws},
  journal={arXiv: Functional Analysis},
  • Matthew Daws
  • Published 11 January 2010
  • Mathematics
  • arXiv: Functional Analysis
In the first part of the paper, we present a short survey of the theory of multipliers, or double centralisers, of Banach algebras and completely contractive Banach algebras. Our approach is very algebraic: this is a deliberate attempt to separate essentially algebraic arguments from topological arguments. We concentrate upon the problem of how to extend module actions, and homomorphisms, from algebras to multiplier algebras. We then consider the special cases when we have a bounded approximate… 

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