Strong algebrability of sets of sequences and functions
From MaRDI portal
Publication:4907114
DOI10.1090/S0002-9939-2012-11377-2zbMath1261.15003MaRDI QIDQ4907114
Artur Bartoszewicz, Szymon Głąb
Publication date: 4 March 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Banach-Mazur gameCantor setsalgebrabilitylineabilityaccumulation pointsnon-measurable functionsnon-summable sequences
Banach algebras of continuous functions, function algebras (46J10) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (55)
Algebraic structures in the sets of surjective functions ⋮ Algebraic genericity and special properties within sequence spaces and series ⋮ Holomorphic functions on non-Runge domains and related problems ⋮ Infinite dimensional holomorphic non-extendability and algebraic genericity ⋮ On the uniform limits of sequences of Świątkowski functions ⋮ Non-Lipschitz differentiable functions on slit domains ⋮ Large algebras of singular functions vanishing on prescribed sets ⋮ Algebrability of \(\mathcal{S}\)-continuous functions ⋮ Large structures in certain subsets of Orlicz spaces ⋮ A note on latticeability and algebrability ⋮ Subsets of some families of real functions and their algebrability ⋮ Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$ ⋮ Peano curves on topological vector spaces ⋮ Around the Świątkowski-type conditions ⋮ Lineability, algebrability, and sequences of random variables ⋮ How large is the space of almost convergent sequences? ⋮ Algebras and Banach spaces of Dirichlet series with maximal Bohr's strip ⋮ Anti M-Weierstrass function sequences ⋮ Algebrable sets of hypercyclic vectors for convolution operators ⋮ Large free linear algebras of real and complex functions ⋮ Independent Bernstein sets and algebraic constructions ⋮ On algebraic properties of the family of weakly Świątkowski functions ⋮ Additivity and lineability in vector spaces ⋮ Algebrability of some families of Darboux-like functions ⋮ Algebrability of conditionally convergent series with Cauchy product ⋮ Algebraic genericity and summability within the non-Archimedean setting ⋮ The set of space-filling curves: topological and algebraic structure ⋮ Lineability within Peano curves, martingales, and integral theory ⋮ Holomorphic functions with distinguished properties on infinite dimensional spaces ⋮ Lineability and algebrability within \(p\)-adic function spaces ⋮ Spaceability and algebrability in the theory of domains of existence in Banach spaces ⋮ Lineability, continuity, and antiderivatives in the non-Archimedean setting ⋮ Olivier's theorem: ideal convergence, algebrability and Borel classification ⋮ Continuous functions in Hashimoto topologies and their algebraic properties ⋮ Anti-L'Hôpital differentiable functions ⋮ On sequences not enjoying Schur's property ⋮ Large function algebras with certain topological properties ⋮ Porous sets and lineability of continuous functions on locally compact groups ⋮ Nonseparable spaceability and strong algebrability of sets of continuous singular functions ⋮ Algebraic genericity within the class of sup-measurable functions ⋮ Hypercyclic algebras for convolution operators of unimodular constant term ⋮ Strong \(\mathfrak c\)-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions ⋮ Vector spaces of non-extendable holomorphic functions ⋮ Families of feebly continuous functions and their properties ⋮ Holomorphic surjectivity near the boundary: topological and algebraic genericity ⋮ Algebrability within the class of Baire 1 functions ⋮ Spaceability and algebrability of sets of nowhere integrable functions ⋮ Classical vs. non-Archimedean analysis: an approach via algebraic genericity ⋮ Algebrability, non-linear properties, and special functions ⋮ A century of Sierpiński-Zygmund functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Algebrability and nowhere Gevrey differentiability ⋮ Linear subsets of nonlinear sets in topological vector spaces ⋮ Dense lineability and algebrability of ℓ^{∞}∖𝑐₀
Cites Work
- Unnamed Item
- Unnamed Item
- On algebrability of nonabsolutely convergent series
- On lineability of sets of continuous functions
- Spaceability in Banach and quasi-Banach sequence spaces
- Lineability, spaceability, and algebrability of certain subsets of function spaces
- Linear structure of sets of divergent sequences and series
- Lineability and algebrability of pathological phenomena in analysis
- Vector spaces of non-measurable functions
- Uncountably generated algebras of everywhere surjective functions
- Algebrability of the set of everywhere surjective functions on \(\mathbb C\)
- Independent Families in Complete Boolean Algebras
- Dense-lineability in spaces of continuous functions
- Topological and algebraic genericity of divergence and universality
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- Algebrability of the set of non-convergent Fourier series
This page was built for publication: Strong algebrability of sets of sequences and functions
