Criteria for convexity in Banach spaces
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- by Vassilis Kanellopoulos PDF
- Proc. Amer. Math. Soc. 128 (2000), 2725-2733 Request permission
Abstract:
In this paper two convexity criteria are proven. The first one characterizes compact convex sets in a locally convex space and extends a previous result by G. Aumann, while the second one characterizes closed bounded convex sets with the Radon-Nikodým property in a Banach space.References
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Additional Information
- Vassilis Kanellopoulos
- Affiliation: Department of Mathematics, University of Athens, Panepistimiopolis 15784, Athens, Greece
- Email: bkanel@math.uoa.gr
- Received by editor(s): October 6, 1997
- Received by editor(s) in revised form: October 6, 1998
- Published electronically: February 28, 2000
- Additional Notes: This research was financially supported by I.K.Y. (National Foundation for Scholarships)
- Communicated by: Dale E. Alspach
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 2725-2733
- MSC (2000): Primary 52A07, 46B20; Secondary 46B22
- DOI: https://doi.org/10.1090/S0002-9939-00-05300-4
- MathSciNet review: 1662253