English

Maximal spaceability in topological vector spaces

Functional Analysis 2015-10-06 v1

Abstract

In this paper we introduce a new technique to prove the existence of closed subspaces of maximal dimension inside sets of topological vector sequence spaces. The results we prove cover some sequence spaces not studied before in the context of spaceability and settle some questions on classical sequence spaces that remained open.

Keywords

Cite

@article{arxiv.1109.6863,
  title  = {Maximal spaceability in topological vector spaces},
  author = {Geraldo Botelho and Daniel Cariello and Vinícius Fávaro and Daniel Pellegrino},
  journal= {arXiv preprint arXiv:1109.6863},
  year   = {2015}
}
R2 v1 2026-06-21T19:13:17.558Z