Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions
Joint Authors
Li, Lei
Chen, Dongyang
Wang, Risheng
Wang, Ya-Shu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We will give the α-Lipschitz version of the Banach-Stone type theorems for lattice-valued α-Lipschitz functions on some metric spaces.
In particular, when X and Y are bounded metric spaces, if T:LipX→LipY is a nonvanishing preserver, then T is a weighted composition operator Tf=h·f∘φ, where φ:Y→X is a Lipschitz homeomorphism.
We also characterize the compact weighted composition operators between spaces of Lipschitz functions.
American Psychological Association (APA)
Chen, Dongyang& Li, Lei& Wang, Risheng& Wang, Ya-Shu. 2013. Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-494997
Modern Language Association (MLA)
Chen, Dongyang…[et al.]. Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-494997
American Medical Association (AMA)
Chen, Dongyang& Li, Lei& Wang, Risheng& Wang, Ya-Shu. Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-494997
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494997
