Spot functions and peripherals: Krein-Milman type theorems in an abstract setting

DOI10.1016/0022-247X(89)90291-6zbMath0714.46011OpenAlexW2010980842MaRDI QIDQ750821

Andrzej Wieczorek

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90291-6

zbMATH Keywords

convexityanalysis of the Krein-Milman type theoremsperipheralspot function

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Helly-type theorems and geometric transversal theory (52A35)

Cites Work

• Verallgemeinerter Konvexitätsbegriff und der Satz von Krein-Milman
• Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
• A Quick Proof for a One-Dimensional Version of Liapounoff's Theorem
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