Uniform boundedness deciding sets, and a problem of M. Valdivia
Functional Analysis
2015-07-21 v2
Abstract
We prove that if a set in a Banach space can be written as an increasing, countable union of sets such that no is uniform boundedness deciding, then also is not uniform boundedness deciding. From this we can give a positive answer to a question of M. Valdivia.
Cite
@article{arxiv.1409.0102,
title = {Uniform boundedness deciding sets, and a problem of M. Valdivia},
author = {Olav Nygaard},
journal= {arXiv preprint arXiv:1409.0102},
year = {2015}
}
Comments
The paper is withdrawn because there is a serious gap that I haven't been able to fill