Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899914 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
Under the right conditions on a compact metric space X and on a Banach space E, we give a description of the 2-local (standard) isometries on the Banach space Lip(X,E) of vector-valued Lipschitz functions from X to E in terms of a generalized composition operator, and we study when every 2-local (standard) isometry on Lip(X,E) is both linear and surjective.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Antonio Jiménez-Vargas, Lei Li, Antonio M. Peralta, Liguang Wang, Ya-Shu Wang,