English

A characterization of barrelledness of $C_p(X)$

Functional Analysis 2015-12-03 v1 General Topology

Abstract

We prove that, for a Tychonoff space XX, the space Cp(X)C_p(X) is barrelled if and only if it is a Mackey group.

Keywords

Cite

@article{arxiv.1512.00788,
  title  = {A characterization of barrelledness of $C_p(X)$},
  author = {S. Gabriyelyan},
  journal= {arXiv preprint arXiv:1512.00788},
  year   = {2015}
}