English

Separably injective $C_\sigma$-spaces

Functional Analysis 2016-10-03 v1

Abstract

We show that a (complex) CσC_\sigma-space is separably injective if and only if it is linearly isometric to the Banach space C0(Ω)C_0(\Omega) of complex continuous functions vanishing at infinity on a substonean locally compact Hausdorff space Ω\Omega.

Keywords

Cite

@article{arxiv.1609.09648,
  title  = {Separably injective $C_\sigma$-spaces},
  author = {Cho-Ho Chu and Lei Li},
  journal= {arXiv preprint arXiv:1609.09648},
  year   = {2016}
}
R2 v1 2026-06-22T16:06:24.865Z