General criteria for a stronger notion of lineability

DOI10.1090/proc/16608arXiv2303.01182MaRDI QIDQ6154339

Daniel M. Pellegrino, Geivison Ribeiro, Anselmo jun. Raposo, Vinícius Vieira Fávaro

Publication date: 15 February 2024

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

Full work available at URL: https://arxiv.org/abs/2303.01182

zbMATH Keywords

spaceabilitylineability

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Vector spaces, linear dependence, rank, lineability (15A03) Lineability in functional analysis (46B87)

Cites Work

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• \(L_p [0,1 \setminus \underset {q>p} \bigcup L_q [0,1]\) is spaceable for every \(p > 0\)]
• Operator ranges and spaceability
• On dense-lineability of sets of functions on \(\mathbb R\)
• Semifredholm maps of FK spaces
• Spaceability of the sets of surjective and injective operators between sequence spaces
• A note on the geometry of certain classes of linear operators
• Lineability and spaceability: a new approach
• On the size of the set of unbounded multilinear operators between Banach spaces
• Lineability criteria, with applications
• Quasicomplements
• Pointwise lineability in sequence spaces
• Lineability
• Basic sequences in F-spaces and their applications
• On the Weak Basis Theorem in F-spaces
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Dense lineability and algebrability of ℓ^{∞}∖𝑐₀
• ON QUASI-COMPLEMENTED SUBSPACES OF BANACH SPACES