Linear isometries between spaces of vector-valued Lipschitz functions
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- by A. Jiménez-Vargas and Moisés Villegas-Vallecillos PDF
- Proc. Amer. Math. Soc. 137 (2009), 1381-1388 Request permission
Abstract:
In this paper we state a Lipschitz version of a theorem due to Cambern concerning into linear isometries between spaces of vector-valued continuous functions and deduce a Lipschitz version of a celebrated theorem due to Jerison concerning onto linear isometries between such spaces.References
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Additional Information
- A. Jiménez-Vargas
- Affiliation: Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04071, Almería, Spain
- Email: ajimenez@ual.es
- Moisés Villegas-Vallecillos
- Affiliation: Departamento de Álgebra y Análisis Matemático, Universidad de Almería, 04071, Almería, Spain
- Email: mvv042@alboran.ual.es
- Received by editor(s): April 28, 2008
- Published electronically: October 20, 2008
- Additional Notes: The first author was partially supported by Junta de Andalucía grants FQM-1215 and FQM-1438, and by MEC grant MTM2006-4837
- Communicated by: Nigel J. Kalton
- © Copyright 2008 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 1381-1388
- MSC (2000): Primary 46B04, 46E40; Secondary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-08-09733-5
- MathSciNet review: 2465663