Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$
From MaRDI portal
Publication:6064903
DOI10.1112/blms.12858arXiv2203.08662OpenAlexW4376875902MaRDI QIDQ6064903
Tommaso Russo, Paolo Leonetti, Jacopo Somaglia
Publication date: 11 December 2023
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.08662
Geometry and structure of normed linear spaces (46B20) Vector spaces, linear dependence, rank, lineability (15A03) Lineability in functional analysis (46B87)
Related Items
A general lineability criterion for complements of vector spaces ⋮ Uncountably infinite algebraic genericity and spaceability for sequence spaces ⋮ Structure of sets of bounded sequences with a prescribed number of accumulation points
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Norm-attaining functionals need not contain 2-dimensional subspaces
- Operator ranges and spaceability
- On densely isomorphic normed spaces
- Almost overcomplete and almost overtotal sequences in Banach spaces. II.
- Semifredholm maps of FK spaces
- On automatic continuity and three problems of ``The Scottish Book concerning the boundedness of polynomial functionals
- Almost overcomplete and almost overtotal sequences in Banach spaces
- Basic sequences and spaceability in \(\ell_p\) spaces
- Lineability criteria, with applications
- Zero subspaces of polynomials on \(\ell _1(\Gamma )\)
- Banach space theory. The basis for linear and nonlinear analysis
- Linear subsets of nonlinear sets in topological vector spaces
- Lineability
- On the Borelian and Projective Types of Linear Subspaces.
- The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
- Compacts de fonctions mesurables et filtres non mesurables
- Set Theory
- Strong algebrability of sets of sequences and functions
- Dense lineability and algebrability of ℓ^{∞}∖𝑐₀
- Separated sets and Auerbach systems in Banach spaces
