Algebrability, non-linear properties, and special functions
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Publication:2845415
DOI10.1090/S0002-9939-2013-11641-2zbMath1287.46040arXiv1109.3674MaRDI QIDQ2845415
Artur Bartoszewicz, Szymon Głąb, Daniel M. Pellegrino, Juan B. Seoane-Sepúlveda
Publication date: 30 August 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3674
Sierpiński-Zygmund functionsalgebrabilityspaceabilitylineabilityperfectly everywhere surjective functions
Related Items (16)
Algebraic structures in the sets of surjective functions ⋮ Cardinal coefficients related to surjectivity, Darboux, and Sierpiński-Zygmund maps ⋮ Modes of convergence in nets, counterexamples, and lineability ⋮ Subsets of some families of real functions and their algebrability ⋮ On algebraic properties of the family of weakly Świątkowski functions ⋮ Additivity and lineability in vector spaces ⋮ Algebrability of some families of Darboux-like functions ⋮ Lineability, spaceability, and additivity cardinals for Darboux-like functions ⋮ Different notions of Sierpiński-Zygmund functions ⋮ Algebraic genericity within the class of sup-measurable functions ⋮ Strong \(\mathfrak c\)-algebrability of strong Sierpiński-Zygmund, smooth nowhere analytic and other sets of functions ⋮ On lineability of families of non-measurable functions of two variable ⋮ On lineability and additivity of real functions with finite preimages ⋮ Lineability of linearly sensitive functions ⋮ A century of Sierpiński-Zygmund functions ⋮ Linear subsets of nonlinear sets in topological vector spaces
Cites Work
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- \(L_p [0,1 \setminus \underset {q>p} \bigcup L_q [0,1]\) is spaceable for every \(p > 0\)]
- Large algebraic structures inside the set of surjective functions
- On algebrability of nonabsolutely convergent series
- Algebrability of conditionally convergent series with Cauchy product
- Bounded and unbounded polynomials and multilinear forms: Characterizing continuity
- Lineability, spaceability, and algebrability of certain subsets of function spaces
- Lineability in subsets of measure and function spaces
- On dense-lineability of sets of functions on \(\mathbb R\)
- Lineability and additivity in \(\mathbb R^{\mathbb R}\)
- Algebras in sets of queer functions
- Lineability of the set of bounded linear non-absolutely summing operators
- Set theory. An introduction to independence proofs
- Algebraic properties of the class of Sierpiński-Zygmund functions
- Sierpiński-Zygmund functions that are Darboux, almost continuous, or have a perfect road
- Sum of Sierpiński-Zygmund and Darboux like 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
- Sierpiński-Zygmund functions and other problems on lineability
- A Characterization of Continuity Revisited
- Dense-lineability in spaces of continuous functions
- Infinite dimensional Banach spaces of functions with nonlinear properties
- Isometrical embeddings of separable Banach spaces into the set of nowhere approximatively differentiable and nowhere Hölder functions
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- Strong algebrability of sets of sequences and functions
- Lineability of summing sets of homogeneous polynomials
- Some results and open questions on spaceability in function spaces
- Algebrability of the set of non-convergent Fourier series
- On sets of almost disjoint subsets of a set
- Some Consequences of Martin’s Axiom and the Negation of the Continuum Hypothesis
- Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)
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