Representation of isometric isomorphisms between monoids of Lipschitz functions.

Mohammed Bachir (1)

1 Equations d'evolution

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.

Domains: Functional Analysis [math.FA]

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