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Indian Journal of Pure and Applied Mathematics

, Volume 50, Issue 4, pp 1011–1019 | Cite as

Multipliers of vector valued Beurling algebra on a discrete Abelian semigroup

  • Prakash A. DabhiEmail author
  • Manish Kumar PandeyEmail author
Article
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Abstract

Let S be an abelian semigroup with weight function ω and Mω(S) be the semigroup of all ω-bounded multipliers on S with the induced weight ω̃. Let \(\tilde{\omega}\) be a commutative Banach algebra with bouded approximate identity and \(M(\mathcal{A})\) be its multiplier algebra. It is shown that if S is cancellative and ω has DN-property, then the multiplier algebra of the \(\mathcal{A}\)- valued Beurling algebra of (S, ω) coincides with the \(M(\mathcal{A})\)- valued Beurling algebra of Mω(S) with induced weight. We shall also determine multipliers of arbitrary vector valued Beurling algebra under some natural conditions.

Key words

Weighted semigroup multipliers of a semigroup Beurling algebra multiplier algebra 

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Notes

Acknowledgment

The authors are thankful to the referee.

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Copyright information

© Indian National Science Academy 2019

Authors and Affiliations

  1. 1.Department of MathematicsSardar Patel UniversityVallabh VidyanagarIndia

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