Banach spaces and Banach lattices of singular functions
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Publication:3381903
DOI10.4064/sm200419-7-9zbMath1479.46022OpenAlexW3133854278MaRDI QIDQ3381903
Luis Bernal-González, María E. Martínez-Gómez, Juan Fernández-Sánchez, Juan B. Seoane-Sepúlveda
Publication date: 20 September 2021
Published in: Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/sm200419-7-9
Singular functions, Cantor functions, functions with other special properties (26A30) Banach lattices (46B42) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Lineability in functional analysis (46B87)
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Cites Work
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- Harmonic analysis on the Sierpiński gasket and singular functions
- A singular function with a non-zero finite derivative
- A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
- Geometry of Müntz spaces and related questions
- Riesz--Nágy singular functions revisited
- On conjugacies between asymmetric Bernoulli shifts
- A note on latticeability and algebrability
- A singular function with a non-zero finite derivative on a dense set with Hausdorff dimension one
- On dense-lineability of sets of functions on \(\mathbb R\)
- Banach lattices
- A new light on Minkowski's \(?(x)\) function
- Pisot numbers and strong negations
- Algebraic structure of continuous, unbounded and integrable functions
- Singular functions with applications to fractal dimensions and generalized Takagi functions
- An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
- Nonseparable spaceability and strong algebrability of sets of continuous singular functions
- \([\mathcal{S}\)-linear and convex structures in function families]
- Lineability and modes of convergence
- A century of Sierpiński-Zygmund functions
- Algebrability and nowhere Gevrey differentiability
- Smooth functions with uncountably many zeros
- Basic sequences and spaceability in \(\ell_p\) spaces
- The Cantor function
- A singular function with a non-zero finite derivative on a dense set
- Linear subsets of nonlinear sets in topological vector spaces
- Lineability
- Lineability in sequence and function spaces
- Differentiability versus continuity: Restriction and extension theorems and monstrous examples
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- On the dimension of subspaces of continuous functions attaining their maximum finitely many times
- Obtaining algebrability in subsets of real functions
- On the zero-set of 2-homogeneous polynomials in Banach spaces
- Some results and open questions on spaceability in function spaces
- Algebrability of the set of non-convergent Fourier series
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