On support points and continuous extensions

DOI10.1007/S00013-009-0044-1zbMath1187.46008OpenAlexW1985034363MaRDI QIDQ1040667

Carlo Alberto De Bernardi

Publication date: 25 November 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0044-1

zbMATH Keywords

selectionconvex setextensionBishop-Phelps theoremsupport pointsupport functional

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Geometry and structure of normed linear spaces (46B20) Extension of maps (54C20) Convex sets in topological linear spaces; Choquet theory (46A55)

Cites Work

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• Continuous selections. I
• On support points and support functionals of convex sets
• Parametric Ekeland's variational principle
• Geometric aspects of convex sets with the Radon-Nikodym property
• An extension of Tietze's theorem
• Curves with finite turn

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