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Bibliographic Details
Main Authors:	Alaminos, J., Extremera, J., Godoy, C., Villena, A. R.
Format:	Preprint
Published:	2024
Subjects:	Functional Analysis 43A20
Online Access:	https://arxiv.org/abs/2407.00489
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Table of Contents:

Let $G$ and $H$ be locally compact groups. We will show that each contractive Jordan isomorphism $Φ\colon L^1(G)\to L^1(H)$ is either an isometric isomorphism or an isometric anti-isomorphism. We will apply this result to study isometric two-sided zero product preservers on group algebras and, further, to study local and approximately local isometric automorphisms of group algebras.