Infinite dimensional Banach spaces of functions with nonlinear properties

DOI10.1002/mana.200610833zbMath1210.46019OpenAlexW2016932527MaRDI QIDQ3560970

Manuel Maestre, Bogdan C. Grecu, Domingo García, Juan B. Seoane-Sepúlveda

Publication date: 17 May 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://pure.qub.ac.uk/ws/files/790631/MN-GarciaGrecuMaestreSeoane.pdf

zbMATH Keywords

Fourier transformalgebrabilityspaceabilitylineabilitylocal extremaRiemann integrabilityDenjoy-Clarkson property

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Continuity and differentiation questions (26B05) Banach spaces of continuous, differentiable or analytic functions (46E15)

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Cites Work

• Lineability and algebrability of pathological phenomena in analysis
• Zeros of polynomials on Banach spaces: The real story
• Solution to the gradient problem of C. E. Weil
• Zero sets of polynomials in several variables
• An approximate Rolle's theorem for polynomials of degree four in a Hilbert space
• Functions with a Proper Local Maximum in Each Interval
• Continuous Functions with a Dense Set of Proper Local Maxima
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Infinite games, Banach space geometry and the Eikonal equation
• On Properties of Derivatives
• Unnamed Item

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