Dense lineability and algebrability of ℓ^{∞}∖𝑐₀

DOI10.1090/proc/15758zbMath1492.46022arXiv2102.03199OpenAlexW4247649029MaRDI QIDQ5027146

Dimitris Papathanasiou

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03199

zbMATH Keywords

sequence spacesalgebrabilitylineability

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Lineability in functional analysis (46B87)

Related Items (6)

Lineability and unbounded, continuous and integrable functions ⋮ Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$ ⋮ How large is the space of almost convergent sequences? ⋮ Uncountably infinite algebraic genericity and spaceability for sequence spaces ⋮ General criteria for a stronger notion of lineability ⋮ Structure of sets of bounded sequences with a prescribed number of accumulation points

Cites Work

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• Lineability, spaceability, and algebrability of certain subsets of function spaces
• Lineability
• Strong algebrability of sets of sequences and functions
• ON QUASI-COMPLEMENTED SUBSPACES OF BANACH SPACES

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