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The algebraA p((0, ∞)) and its multipliers
Authors:Ajit Iqbal Singh  H L Vasudeva
Institution:(1) Department of Mathematics, University of Delhi South Campus, Benito Juarez Road, 110 021 New Delhi, India;(2) Department of Mathematics, Panjab University, Sector 14, 160 014 Chandigarh, India
Abstract:LetI =xεR: 0≤x≤∞ be the locally compact semigroup with addition as binary operation and the usual interval topology. The purpose of this note is to study the algebraA p(I) of elements inL 1(I) whose Gelfand transforms belong toL p(Î), whereÎ denotes maximal ideal space ofL 1(I). The multipliers ofA p(I) have also been identified.
Keywords:Binary operation  interval topology  Gelfand transforms  maximal ideal space
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