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

被引：2

作者：

Chen, Dongyang ^{[1
]}

Li, Lei ^{[2
,3
]}

Wang, Risheng ^{[2
,3
]}

Wang, Ya-Shu ^{[4
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

[4] Chung Yuan Christian Univ, Dept Appl Math, Chungli 32023, Taiwan

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

BANACH-STONE THEOREM; LATTICES; ISOMORPHISMS; ALGEBRAS;

D O I：

10.1155/2013/741050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We will give the alpha-Lipschitz version of the Banach-Stone type theorems for lattice-valued alpha-Lipschitz functions on some metric spaces. In particular, when X and Y are bounded metric spaces, if T : Lip(X) -> Lip(Y) is a nonvanishing preserver, then T is a weighted composition operator Tf = h . f o phi : Y -> X is a Lipschitz homeomorphism. We also characterize the compact weighted composition operators between spaces of Lipschitz functions.

引用

页数：8

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