On representations of isometric isomorphisms between some monoid of 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.

Keywords: Keyword; Inf-convolution; 1-Lipschitz; isometries; group and monoid structure; Banach-Stone theorem.; 2010 Mathematics Subject: 46T99; 26E99; 20M32; 47B33

Domains: Functional Analysis [math.FA]

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