Multipliers of vector valued Beurling algebra on a discrete Abelian semigroup

Prakash A. Dabhi () and Manish Kumar Pandey ()
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Prakash A. Dabhi: Sardar Patel University
Manish Kumar Pandey: Sardar Patel University

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 4, 1011-1019

Abstract: 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 $$\tilde{\omega}$$ω~ be a commutative Banach algebra with bouded approximate identity and $$M(\mathcal{A})$$M(A) be its multiplier algebra. It is shown that if S is cancellative and ω has DN-property, then the multiplier algebra of the $$\mathcal{A}$$A- valued Beurling algebra of (S, ω) coincides with the $$M(\mathcal{A})$$M(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.

Keywords: Weighted semigroup; multipliers of a semigroup; Beurling algebra; multiplier algebra (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0370-3

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