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Paper IPM / M / 7347 |
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Abstract: | |
In the present paper it is shown that if S1 and S2 are two
Clifford topological semigroups satisfying certain conditions and
T is an isometric isomorphism of LUC(S1) onto LUC(S2),
then T maps S1 topologically isomorphically onto S2.
Furthermore, T maps Mln(S1) (M(S1), respectively)
isometrically isomorphically onto Mln(S2) (M(S2),
respectively). Indeed, we have obtained a generalization of a
well-known result of Ghahramani, Lau and Losert for locally
compact groups to a more general setting of Clifford topological
semigroups.
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