Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions

We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition operator , where is a Lipschitz homeomorphism....

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Bibliographic Details
Main Authors: Dongyang Chen, Lei Li, Risheng Wang, Ya-Shu Wang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/741050