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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Integrability of subdifferentials of directionally Lipschitz functions
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by Lionel Thibault and Nadia Zlateva PDF
Proc. Amer. Math. Soc. 133 (2005), 2939-2948 Request permission

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
  • Received by editor(s): May 10, 2002
  • Published electronically: 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 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2939-2948
  • MSC (2000): Primary 49J52; Secondary 28B20
  • DOI: https://doi.org/10.1090/S0002-9939-05-07883-4
  • MathSciNet review: 2159772