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Multipliers of vector valued Beurling algebra on a discrete Abelian semigroup

Author

Listed:
  • Prakash A. Dabhi

    (Sardar Patel University)

  • Manish Kumar Pandey

    (Sardar Patel University)

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.

Suggested Citation

  • Prakash A. Dabhi & Manish Kumar Pandey, 2019. "Multipliers of vector valued Beurling algebra on a discrete Abelian semigroup," Indian Journal of Pure and Applied Mathematics, Springer, vol. 50(4), pages 1011-1019, December.
    • Handle: RePEc:spr:indpam:v:50:y:2019:i:4:d:10.1007_s13226-019-0370-3
    DOI: 10.1007/s13226-019-0370-3
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