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Multipliers on <i>L</i>(<i>S</i>), <i>L</i>(<i>S</i>)<sup>**</sup>, and <i>L</i><i>U</i><i>C</i>(<i>S</i>)<sup>*</sup> for a locally compact topological semigroup

Multipliers on <i>L</i>(<i>S</i>), <i>L</i>(<i>S</i>)<sup>**</sup>, and <i>L</i><i>U</i><i>C</i>(<i>S</i>)<sup>*</sup> for a locally compact topological semigroup

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 …