The multiplier algebra of a Beurling algebra

Authors

  • S. J. Bhatt Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India, PIN-388120
  • P. A. Dabhi Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India, PIN-388120
  • H. V. Dedania Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat, India, PIN-388120

Keywords:

Banach algebra, Beurling algebra, multiplier algebra

Abstract

For a discrete abelian cancellative semigroup S with a weight function ω and associated multiplier semigroup Mω(S) consisting of ω-bounded multipliers, the multiplier algebra of the Beurling algebra of (S,ω) coincides with the Beurling algebra of Mω(S) with the induced weight. DOI: 10.1017/S0004972714000239

Published

2014-06-03

Issue

Vol. 90 No. 1 (2014)

Section

Articles
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