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

Dongyang Chen | Zendy; Lei Li | Zendy; Risheng Wang | Zendy; Ya-Shu Wang | Zendy

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

Author(s) -

Dongyang Chen,

Lei Li,

Risheng Wang,

Ya-Shu Wang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/741050

Subject(s) - scalable vector graphics , mathematics , lipschitz continuity , path (computing) , combinatorics , algebra over a field , pure mathematics , computer science , world wide web , programming language

We will give the -Lipschitz version of the Banach-Stone type theoremsfor 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. We also characterize the compact weighted compositionoperators between spaces of Lipschitz functions

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