Large free linear algebras of real and complex functions
DOI10.1016/j.laa.2013.01.013zbMath1337.15003arXiv1212.4329OpenAlexW2023071135MaRDI QIDQ1947130
Adam Paszkiewicz, Artur Bartoszewicz, Szymon Głąb
Publication date: 12 April 2013
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4329
algebrabilitystrong algebrabilitylineabilityperfectly everywhere surjective functionsstrongly everywhere surjective functionsset of continuity points
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Independent Bernstein sets and algebraic constructions
- On algebrability of nonabsolutely convergent series
- Algebrability of conditionally convergent series with Cauchy product
- Lineability, spaceability, and algebrability of certain subsets of function spaces
- Lineability and algebrability of pathological phenomena in analysis
- Algebras in sets of queer functions
- An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
- Uncountably generated algebras of everywhere surjective functions
- Algebrability of the set of everywhere surjective functions on \(\mathbb C\)
- Spaceability and algebrability of sets of nowhere integrable functions
- Independent Families in Complete Boolean Algebras
- Sierpiński-Zygmund functions and other problems on lineability
- A Characterization of Continuity Revisited
- Differentiation of Real Functions
- Lineability and spaceability of sets of functions on $\mathbb {R}$
- Strong algebrability of sets of sequences and functions
- Algebrability of the set of non-convergent Fourier series
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