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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |