Weak compactness is equivalent to the fixed point property in

Authors:
P. N. Dowling, C. J. Lennard and B. Turett

Translated by:

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

Published electronically:
January 29, 2004

MathSciNet review:
2051126

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Abstract | References | Similar Articles | Additional Information

Abstract: A nonempty, closed, bounded, convex subset of 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:
https://doi.org/10.1090/S0002-9939-04-07436-2

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

Article copyright:
© Copyright 2004
American Mathematical Society