# Representation of isometric isomorphisms between monoids of Lipschitz functions.

1 Equations d'evolution
SAMM - SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
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.
Document type :
Journal articles

https://hal-paris1.archives-ouvertes.fr/hal-01518588
Contributor : Mohammed Bachir Connect in order to contact the contributor
Submitted on : Friday, May 5, 2017 - 1:54:22 AM
Last modification on : Friday, May 6, 2022 - 4:50:07 PM

### Identifiers

• HAL Id : hal-01518588, version 1

### Citation

Mohammed Bachir. Representation of isometric isomorphisms between monoids of Lipschitz functions.. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2017. ⟨hal-01518588⟩

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