The uniform separation property and Banach-Stone theorems for lattice-valued Lipschitz functions

Jiménez-Vargas, A.; Campoy, A.; Villegas-Vallecillos, Moisés

doi:10.1090/S0002-9939-09-09941-9

The uniform separation property and Banach-Stone theorems for lattice-valued Lipschitz functions
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by A. Jiménez-Vargas, A. Morales Campoy and Moisés Villegas-Vallecillos PDF

Proc. Amer. Math. Soc. 137 (2009), 3769-3777 Request permission

Erratum: Proc. Amer. Math. Soc. 138 (2010), 1535-1535.

Abstract:

Using the uniform separation property of N. Weaver and the uniform joint property, we present in this paper a Lipschitz version of a Banach–Stone-type theorem for lattice-valued continuous functions obtained recently by J. X. Chen, Z. L. Chen and N.-C. Wong.

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