On square-preserving isometries of convolution algebras
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- by Sadahiro Saeki PDF
- 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.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 346 (1994), 707-718
- MSC: Primary 43A10; Secondary 20M99
- DOI: https://doi.org/10.1090/S0002-9947-1994-1276936-0
- MathSciNet review: 1276936