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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/741050 |
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| _version_ | 1850157884509257728 |
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| author | Dongyang Chen Lei Li Risheng Wang Ya-Shu Wang |
| author_facet | Dongyang Chen Lei Li Risheng Wang Ya-Shu Wang |
| author_sort | Dongyang Chen |
| collection | DOAJ |
| description | 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. We also characterize the compact weighted composition
operators between spaces of Lipschitz functions. |
| format | Article |
| id | doaj-art-62859af1f19945329d8a0766f69b24aa |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-62859af1f19945329d8a0766f69b24aa2025-08-20T02:24:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/741050741050Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz FunctionsDongyang Chen0Lei Li1Risheng Wang2Ya-Shu Wang3School of Mathematical Sciences, Xiamen University, Xiamen 361005, ChinaSchool of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, ChinaSchool of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, ChinaDepartment of Applied Mathematics, Chung Yuan Christian University, Chung-Li 32023, TaiwanWe 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. We also characterize the compact weighted composition operators between spaces of Lipschitz functions.http://dx.doi.org/10.1155/2013/741050 |
| spellingShingle | Dongyang Chen Lei Li Risheng Wang Ya-Shu Wang Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions Abstract and Applied Analysis |
| title | Nonvanishing Preservers and Compact Weighted Composition
Operators between Spaces of Lipschitz Functions |
| title_full | Nonvanishing Preservers and Compact Weighted Composition
Operators between Spaces of Lipschitz Functions |
| title_fullStr | Nonvanishing Preservers and Compact Weighted Composition
Operators between Spaces of Lipschitz Functions |
| title_full_unstemmed | Nonvanishing Preservers and Compact Weighted Composition
Operators between Spaces of Lipschitz Functions |
| title_short | Nonvanishing Preservers and Compact Weighted Composition
Operators between Spaces of Lipschitz Functions |
| title_sort | nonvanishing preservers and compact weighted composition operators between spaces of lipschitz functions |
| url | http://dx.doi.org/10.1155/2013/741050 |
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