On square-preserving isometries of convolution algebras

Saeki, Sadahiro

doi:10.1090/S0002-9947-1994-1276936-0

On square-preserving isometries of convolution algebras
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Trans. Amer. Math. Soc. 346 (1994), 707-718 Request permission

Abstract:

Let $S$ and $S’$ be two semigroups, each contained in a locally compact group. Under certain conditions on $S$ and $S’$, we shall characterize those isometric additive surjections $T:M(S) \to M(S’)$ which preserve convolution squares. Our results generalize the classical results of Wendel and of Johnson and also Patterson’s characterization of isometric involutions on measure algebras.

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On semi-isomorphisms and lattice isomorphisms of semigroups with cancellation

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Half-isomorphisms of cancellative semigroups

1

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