Automatic norm continuity of weak* homeomorphisms
Functional Analysis
2010-01-26 v1 General Topology
Abstract
We prove that in a certain class E of nonseparable Banach spaces the norm topology of the dual ball is definable in terms of its weak* topology. Thus, any weak* homeomorphism between duals balls of spaces in E is automatically norm-continuous.
Cite
@article{arxiv.0903.0157,
title = {Automatic norm continuity of weak* homeomorphisms},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:0903.0157},
year = {2010}
}
Comments
To appear in Houston J. Math