On the dimension of subspaces of continuous functions attaining their maximum finitely many times

DOI10.1090/tran/8054zbMath1448.46022OpenAlexW2991250211WikidataQ126652062 ScholiaQ126652062MaRDI QIDQ4960228

Gustavo A. Muñoz-Fernández, Luis Bernal-González, H. J. Cabana-Méndez, Juan B. Seoane-Sepúlveda

Publication date: 9 April 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/8054

zbMATH Keywords

lineabilitysubspaces of continuous functionsfunctions attaining their maximum

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Banach spaces of continuous, differentiable or analytic functions (46E15) Vector spaces, linear dependence, rank, lineability (15A03) Lineability in functional analysis (46B87)

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Cites Work

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• An Introduction to Banach Space Theory
• Differentiability versus continuity: Restriction and extension theorems and monstrous examples
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Some results and open questions on spaceability in function spaces

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