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Proceedings of the American Mathematical Society
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Weak compactness is equivalent to the fixed point property in $c_0$

Author(s): P. N. Dowling; C. J. Lennard; B. Turett
Journal: Proc. Amer. Math. Soc. 132 (2004), 1659-1666.
MSC (2000): Primary 47H10, 47H09, 46E30
Posted: January 29, 2004
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Abstract: A nonempty, closed, bounded, convex subset of $c_0$ has the fixed point property if and only if it is weakly compact.


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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

DOI: 10.1090/S0002-9939-04-07436-2
PII: S 0002-9939(04)07436-2
Received by editor(s): June 11, 2002
Posted: 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 of article: Copyright 2004, American Mathematical Society


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