Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900136 | Journal of Mathematical Analysis and Applications | 2018 | 8 Pages |
Abstract
In this work we show that the family of closed convex sets with the almost fixed point property is not stable under renormings for non-reflexive Banach spaces. This, together with a result by Reich, shows that a Banach space is reflexive if and only if it has the same family of closed convex sets with the almost fixed point property for every equivalent norm.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
H. Fetter, M. Japón, J. Villada Bedoya,