Support functions of convex compacta

DOI10.1007/BF01780968zbMath0422.46008OpenAlexW2073790490MaRDI QIDQ1133715

A. A. Tolstonogov

Publication date: 1978

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01780968

zbMATH Keywords

Vietoris topologysupport functionssublinear functionalsbarrelled spaceconvex compacta

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Set functions, measures and integrals with values in ordered spaces (28B15) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

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Cites Work

• Integrals of set-valued functions
• Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
• Completion of hyperspaces of compact subsets and topological completion of open-closed maps
• The extremal points of the range of a vector-valued measure
• The Radon-Nikodym Theorem for the Bochner Integral
• Radon-Nikodym Theorems for Vector Valued Measures
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