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Transactions of the American Mathematical Society

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On square-preserving isometries of convolution algebras


Author: Sadahiro Saeki
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
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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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DOI: https://doi.org/10.1090/S0002-9947-1994-1276936-0
Keywords: Measure algebras, semihomomorphisms, Jordan products, tight convergence
Article copyright: © Copyright 1994 American Mathematical Society

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