Porosity in the space of Hölder-functions

DOI10.1016/j.jmaa.2021.125946zbMath1492.46023arXiv2105.04849OpenAlexW4206653335MaRDI QIDQ2069791

Mohammed Bachir

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04849

zbMATH Keywords

barrier cone\( \sigma \)-porosityvector-valued linear operatorsvector-valued Lipschitz and Hölder functions

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

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Cites Work

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• The use of norm attainment
• Porosity and \(\sigma\)-porosity
• Normal cones, barrier cones, and the spherical image of convex surfaces in locally convex spaces
• On Fréchet differentiability of Lipschitz maps between Banach spaces
• A survey on Lipschitz-free Banach Spaces
• Lipschitz-free Banach spaces
• Norm-closure of the barrier cone in normed linear spaces

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