Pointwise linear separation property and infinite pointwise dense lineability

2023/11/15 by Anselmo Raposo, Geivison Ribeiro, Raposo, Anselmo +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2311.09110

openalex publication_date 2023/11/15 · openalex created_date 2023/11/17 · openalex updated_date 2026/07/28

Abstract

In this note we generalize a criterion within the concept of infinite dense lineability due to Calderón-Moreno, Gerlach-Mena and Prado-Bassas. We also introduce and explore some local notions of lineability.

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• Infinite dimensional spaces consisting of sequences that do not converge to zero

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