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Linear isometries between spaces of vector-valued Lipschitz functions
Author(s):
A.
Jiménez-Vargas;
Moisés
Villegas-Vallecillos
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1381-1388.
MSC (2000):
Primary 46B04, 46E40;
Secondary 46E15
Posted:
October 20, 2008
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Additional information
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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- 3.
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- 4.
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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
DOI:
10.1090/S0002-9939-08-09733-5
PII:
S 0002-9939(08)09733-5
Keywords:
Banach--Stone theorem,
linear isometry,
Lipschitz function
Received by editor(s):
April 28, 2008
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
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