Extreme Points of Convex Sets in Infinite Dimensional Spaces

DOI10.2307/2322725zbMath0664.46006OpenAlexW2058427149MaRDI QIDQ3814199

Nina M. Roy

Publication date: 1987

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2322725

zbMATH Keywords

extreme pointBanach-Stone theoremKrein-Mil'man theoremArens-Kelley theoremclosed unit balls in Banach spacesevery nice operator is extremeExtreme points in spaces of operatorsKlee's generalizationWhen is an extreme operator nice

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Convex sets and cones of operators (47L07)

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