English

Complements of Non-Minimal Subspaces: Characterization Results

Functional Analysis 2024-07-09 v1

Abstract

Inspired by the work of L. Drewnowski in [Studia Math. 77 (1984) 373--391], our research reveals new insights and characterizes the notion of spaceability in the context of complements of subspaces (not necessarily closed) within the universe of F-spaces in terms of [S]-lineability.

Keywords

Cite

@article{arxiv.2407.05217,
  title  = {Complements of Non-Minimal Subspaces: Characterization Results},
  author = {Geivison Ribeiro},
  journal= {arXiv preprint arXiv:2407.05217},
  year   = {2024}
}