Weak compactness is equivalent to the fixed point property in $c_0$
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- by P. N. Dowling, C. J. Lennard and B. Turett PDF
- Proc. Amer. Math. Soc. 132 (2004), 1659-1666 Request permission
Abstract:
A nonempty, closed, bounded, convex subset of $c_0$ has the fixed point property if and only if it is weakly compact.References
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Additional Information
- P. N. Dowling
- Affiliation: Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056
- Email: dowlinpn@muohio.edu
- C. J. Lennard
- Affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
- Email: lennard@pitt.edu
- B. Turett
- Affiliation: Department of Mathematics and Statistics, Oakland University, Rochester, Michigan 48309
- Email: turett@oakland.edu
- Received by editor(s): June 11, 2002
- Published electronically: January 29, 2004
- Additional Notes: The second author thanks Paddy Dowling and the Department of Mathematics and Statistics at Miami University for their hospitality during part of the preparation of this paper. He also acknowledges the financial support of Miami University
- Communicated by: Jonathan M. Borwein
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1659-1666
- MSC (2000): Primary 47H10, 47H09, 46E30
- DOI: https://doi.org/10.1090/S0002-9939-04-07436-2
- MathSciNet review: 2051126