Multipliers on L ( S ), L ( S ) * *, and L U C ( S ) * for a locally compact topological semigroup

Alireza Medghalchi

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-5

Abstract:

We study compact and weakly compact multipliers on L ( S ) , L ( S ) * * , and L U C ( S ) * , where the latter is the dual of L U C ( S ) . We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L ( S ) * * . We also prove that S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L U C ( S ) * .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:819857

DOI: 10.1155/S016117120200652X

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