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Integrability of subdifferentials of directionally Lipschitz functions
Author(s):
Lionel
Thibault;
Nadia
Zlateva
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2939-2948.
MSC (2000):
Primary 49J52;
Secondary 28B20
Posted:
May 13, 2005
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Abstract:
Using a quantitative version of the subdifferential characterization of directionally Lipschitz functions, we study the integrability of subdifferentials of such functions over arbitrary Banach space.
References:
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Additional Information:
Lionel
Thibault
Affiliation:
Département de Mathématiques, Université Montpellier II, CC 051, Place Eugène Bataillon, 34095 Montpellier cedex 5, France
Email:
thibault@math.univ-montp2.fr
Nadia
Zlateva
Affiliation:
Section of Operations Research, Department of Mathematics, Sofia University, 5, James Bourchier Blvd., 1164 Sofia, Bulgaria --- and --- Département de Mathématiques, Université Montpellier II, CC 051, Place Eugène Bataillon, 34095 Montpellier cedex 5, France
Email:
zlateva@fmi.uni-sofia.bg, zlateva@math.univ-montp2.fr
DOI:
10.1090/S0002-9939-05-07883-4
PII:
S 0002-9939(05)07883-4
Keywords:
Subdifferential,
integrability,
directionally Lipschitz function
Received by editor(s):
May 10, 2002
Posted:
May 13, 2005
Additional Notes:
The second author's research was supported by a Marie Curie fellowship of the European Community programme Improving Human Potential under contract No. HPMF-CT-2001-01345
Communicated by:
Jonathan M. Borwein
Copyright of article:
Copyright
2005,
American Mathematical Society
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