Dense Lineability and algebrability of ℓ^∞∖ c₀

2021/02/05 by Dimitris Papathanasiou, Papathanasiou, Dimitris
Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2102.03199

openalex publication_date 2021/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the set ℓ^∞∖ c₀ is dense-lineable and dense-algebrable answering a question posed by Nestoridis and complementing a result by García-Pacheco, Martín and Seoane-Sepúlveda.

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