A characterization of nonreflexive banach spaces |
| |
| Authors: | Daryl Tingley |
| |
| Affiliation: | University of New Brunswick , Fredercton, New Brunswick |
| |
| Abstract: | D. P. Mil'man and V. D. Mil'man considered sequences of decreasing nonempty closed bounded convex sets with empty intersection to obtain characteristics of non-reflexivity. They showed that in every nonreflexive space there is such a sequence which is ω-separated. We show that in every nonreflexive space there is also always such a sequence which is not ω-separated |
| |
| Keywords: | Nonreflexive basis ω-separated |
|
