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On representations of isometric isomorphisms between some monoid of functions

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Mohammed Bachir
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Abstract

We prove that each isometric isomorphism, between the monoids of all nonegative 1-Lipschitz maps defined on invariant metric groups and equiped with the inf-convolution law, is given canonically from an isometric isomorphism between their groups of units.
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hal-01378231 , version 1 (09-10-2016)

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Mohammed Bachir. On representations of isometric isomorphisms between some monoid of functions. 2016. ⟨hal-01378231⟩
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