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Arens Regularity of Semigroup Algebras with Certain Locally Convex Topologies

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Abstract

The authors have recently introduced and studied a locally convex topology β1(S) on the semigroup algebra Ma(S) of a locally compact semigroup S; as the main result, they showed that the strong dual of (Ma(S),β1(S)) can be identified with the Banach space L∞0(S,Ma(S)) for a large class of locally compact semigroups S. Here, an application of this result is made to define and investigate an Arens multiplication on the second dual of (Ma(S),β1(S)).

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Authors and Affiliations

  1. Department of Mathematics, Uinversity of Zanjan, Zanjan, Iran

    S. Maghsoudi

  2. The Institute for Studies in Theoretical, Physics and Mathematics (IPM), Tehran 19395 and Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran

    R. Nasr-Isfahani

Authors
  1. S. Maghsoudi
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  2. R. Nasr-Isfahani
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Correspondence to S. Maghsoudi or R. Nasr-Isfahani.

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Maghsoudi, S., Nasr-Isfahani, R. Arens Regularity of Semigroup Algebras with Certain Locally Convex Topologies. Semigroup Forum 75, 345–358 (2007). https://doi.org/10.1007/s00233-007-0702-1

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  • DOI: https://doi.org/10.1007/s00233-007-0702-1

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