Fourier Algebras on Topological Foundation ∗-semigroups

نویسندگان

  • MASSOUD AMINI
  • ALIREZA MEDGHALCHI
چکیده

We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological ∗-semigroup and show that these are commutative Banach algebras. For a class of foundation semigroups, we show that these are preduals of von Neumann algebras. 1. Definitions and Notations Let S be a locally compact topological semigroup and M(S) be the Banach algebra of all bounded regular Borel measures μ on S with norm and convolution product

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تاریخ انتشار 2000