Complements of Non-Minimal Subspaces: Characterization Results
Geivison Ribeiro
TL;DR
This paper explores the concept of spaceability in F-spaces, providing new characterizations of complements of subspaces through [S]-lineability, extending previous work in the field.
Contribution
It offers novel insights and characterization results for spaceability of complements of subspaces in F-spaces, expanding the understanding of [S]-lineability.
Findings
New characterization of spaceability in F-spaces.
Extension of Drewnowski's work on subspace complements.
Enhanced understanding of [S]-lineability in non-closed subspaces.
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.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra