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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
Proc. Amer. Math. Soc. 137 (2009), 3769-3777
DOI: https://doi.org/10.1090/S0002-9939-09-09941-9
Published electronically: June 1, 2009

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.
References
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Bibliographic Information
  • A. Jiménez-Vargas
  • Affiliation: Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, Spain
  • Email: ajimenez@ual.es
  • A. Morales Campoy
  • Affiliation: Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, Spain
  • Email: amorales@ual.es
  • Moisés Villegas-Vallecillos
  • Affiliation: Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04120 Almería, Spain
  • Email: mvv042@alboran.ual.es
  • Received by editor(s): February 12, 2009
  • Received by editor(s) in revised form: February 20, 2009
  • Published electronically: June 1, 2009
  • Additional Notes: This research was partially supported by Junta de Andalucía grants FQM-1438 and FQM-3737, and MCYT projects MTM2006-4837 and MTM2007-65959.
    The third author was supported in part by Beca Plan Propio Universidad de Almería
  • Communicated by: Nigel J. Kalton
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3769-3777
  • MSC (2000): Primary 46E40, 46E05
  • DOI: https://doi.org/10.1090/S0002-9939-09-09941-9
  • MathSciNet review: 2529886