English

A Gliding Hump Characterization of Normed Barrelled Spaces

Functional Analysis 2024-04-08 v1

Abstract

In this paper, a characterization of normed barrelled spaces is given, as well as a similar characterization of rings of sets with the Nikodym Property. Finally, a condition that is equivalent to a Banach space having a separable quotient is discussed.

Keywords

Cite

@article{arxiv.2404.04165,
  title  = {A Gliding Hump Characterization of Normed Barrelled Spaces},
  author = {Christopher E. Stuart},
  journal= {arXiv preprint arXiv:2404.04165},
  year   = {2024}
}