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Compact multipliers on weighted hypergroup algebras

Published online by Cambridge University Press:  24 October 2008

F. Ghahramani  and
A. R. Medgalchi
F. Ghahramani
Affiliation:
Department of Mathematics, University for Teacher Education, Tehran, Iran
A. R. Medgalchi
Affiliation:
Department of Mathematics, University for Teacher Education, Tehran, Iran
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Abstract

Let Mω(X) be a weighted hypergroup algebra, and Lω(X) be the Banach algebra of measures μ ε Mω(X) such that the function x ↦ (1/ω(x))δx* |μ| is norm continuous. We characterize compact multipliers on Lω(X). This extends the characterization of compact multipliers on weighted group algebras and some classes of weighted semigroup algebras.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 3 , November 1985 , pp. 493 - 500
Copyright
Copyright © Cambridge Philosophical Society 1985

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