Weak$^*$ derived sets of convex sets in duals of non-reflexive spaces
Functional Analysis
2021-11-29 v1
Abstract
We investigate weak derived sets, that is the sets of weak limits of bounded nets, of convex subsets of duals of non-reflexive Banach spaces and their possible iterations. We prove that a dual space of any non-reflexive Banach space contains convex subsets of any finite order and a convex subset of order .
Keywords
Cite
@article{arxiv.2101.10684,
title = {Weak$^*$ derived sets of convex sets in duals of non-reflexive spaces},
author = {Zdeněk Silber},
journal= {arXiv preprint arXiv:2101.10684},
year = {2021}
}