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Separable determination
of integrability and minimality
of the Clarke subdifferential mapping


Authors: Jonathan M. Borwein and Warren B. Moors
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
Published electronically: September 9, 1999
MathSciNet review: 1622793
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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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

DOI: https://doi.org/10.1090/S0002-9939-99-05001-7
Keywords: Separable reduction, integrability, $D$-representability, minimal cusco.
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
Article copyright: © Copyright 1999 American Mathematical Society

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