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A note on isometries of Lipschitz spaces
Authors:Alireza Ranjbar-Motlagh
Affiliation:Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran
Abstract:The main purpose of this article is to generalize a recent result about isometries of Lipschitz spaces. Botelho, Fleming and Jamison [2] described surjective linear isometries between vector-valued Lipschitz spaces under certain conditions. In this article, we extend the main result of [2] by removing the quasi-sub-reflexivity condition from Banach spaces.
Keywords:Isometry   Vector-valued Lipschitz function   Banach&ndash  Stone theorem
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