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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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