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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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Separable determination of integrability and minimality of the Clarke subdifferential mapping
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by Jonathan M. Borwein and Warren B. Moors PDF
Proc. Amer. Math. Soc. 128 (2000), 215-221 Request permission

Abstract:

In this paper we show that the study of integrability and $D$-representability of Lipschitz functions defined on arbitrary Banach spaces reduces to the study of these properties on separable Banach spaces.
References
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  • Jonathan M. Borwein and Warren B. Moors, Essentially smooth Lipschitz functions, J. Funct. Anal. 149 (1997), no. 2, 305–351. MR 1472362, DOI 10.1006/jfan.1997.3101
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Additional Information
  • Jonathan M. Borwein
  • Affiliation: CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6
  • Email: jborwein@cecm.sfu.ca
  • Warren B. Moors
  • Affiliation: Department of Mathematics, University of Waikato, Private Bag 3105, Hamilton, New Zealand
  • Email: moors@math.waikato.ac.nz
  • Received by editor(s): October 22, 1997
  • Received by editor(s) in revised form: March 18, 1998
  • Published electronically: September 9, 1999
  • Additional Notes: The first author’s research was supported by NSERC and the Shrum Endowment at Simon Fraser University.
  • Communicated by: Dale Alspach
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 215-221
  • MSC (1991): Primary 49J52, 46N10; Secondary 58C20
  • DOI: https://doi.org/10.1090/S0002-9939-99-05001-7
  • MathSciNet review: 1622793