Renormings of ℓ1 and C 0 and Fixed Point Properties

P. N. Dowling (), C. J. Lennard () and B. Turett ()
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P. N. Dowling: Miami University, Department of Mathematics and Statistics
C. J. Lennard: University of Pittsburgh, Department of Mathematics and Statistics
B. Turett: Oakland University, Department of Mathematics and Statistics

Chapter Chapter 9 in Handbook of Metric Fixed Point Theory, 2001, pp 269-297 from Springer

Abstract: Abstract As has been noted in previous chapters, there are many geometric conditions on a Banach space strong enough to imply that the Banach space has the fixed point property. Geometric conditions such as uniform rotundity, uniform smoothness, or normal structure together with reflexivity are sufficient to imply the fixed point property. Each of these conditions also implies (or assumes in the last case) that the Banach space is reflexive.

Keywords: Banach Space; Convex Subset; Nonexpansive Mapping; Banach Lattice; Orlicz Space (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-017-1748-9_9

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