Structure of sets of bounded sequences with a prescribed number of accumulation points

DOI10.1090/proc/16663arXiv2303.03871OpenAlexW4387333642MaRDI QIDQ6203187

Quentin Menet, Dimitris Papathanasiou

Publication date: 27 February 2024

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

Full work available at URL: https://arxiv.org/abs/2303.03871

zbMATH Keywords

spaceabilitylineabilityaccumulation pointreal sequence

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Lineability in functional analysis (46B87)

Cites Work

• On lineability of sets of continuous functions
• Linear structure of hypercyclic vectors
• Lineability and spaceability: a new approach
• Basic sequences and spaceability in \(\ell_p\) spaces
• Lineability criteria, with applications
• Hypercyclic subspaces and weighted shifts
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability
• Spectral theory and hypercyclic subspaces
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Dense lineability and algebrability of ℓ^{∞}∖𝑐₀
• Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$

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