2-local standard isometries on vector-valued Lipschitz function spaces
Functional Analysis
2017-08-10 v1
Abstract
Under the right conditions on a compact metric space and on a Banach space , we give a description of the -local (standard) isometries on the Banach space of vector-valued Lipschitz functions from to in terms of a generalized composition operator, and we study when every -local (standard) isometry on is both linear and surjective.
Cite
@article{arxiv.1708.02897,
title = {2-local standard isometries on vector-valued Lipschitz function spaces},
author = {Antonio Jiménez-Vargas and Lei Li and Antonio M. Peralta and Liguang Wang and Ya-Shu Wang},
journal= {arXiv preprint arXiv:1708.02897},
year = {2017}
}