Lineability and additivity in \(\mathbb R^{\mathbb R}\)
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Publication:982593
DOI10.1016/j.jmaa.2010.03.036zbMath1202.26006OpenAlexW1993642410MaRDI QIDQ982593
Juan B. Seoane-Sepúlveda, Gustavo A. Muñoz-Fernández, José Luis Gámez-Merino
Publication date: 7 July 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.036
Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Real-valued functions in general topology (54C30)
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Cites Work
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- Almost continuity and connectivity - sometimes it's as easy to prove a stronger result
- On dense-lineability of sets of functions on \(\mathbb R\)
- Algebras in sets of queer functions
- Lineability of the set of bounded linear non-absolutely summing operators
- Almost continuity
- Algebraic properties of the class of Sierpiński-Zygmund functions
- Cardinal invariants concerning extendable and peripherally continuous functions
- Cardinal invariants concerning functions whose sum is almost continuous
- Darboux like functions
- Bounded linear non-absolutely summing operators
- Sierpiński-Zygmund functions and other problems on lineability
- Dense-lineability in spaces of continuous functions
- Sums and limits of almost continuous functions
- 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 $\mathbb {R}$
- Every Separable Banach Space is Isometric to a Space of Continuous Nowhere Differentiable Functions
- Lineability of summing sets of homogeneous polynomials
- Algebrability of the set of non-convergent Fourier series
- Almost Continuous Real Functions
- Fixed point theorems for connectivity maps
- Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)
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