The Krein-Mil'man theorem and its inverse

DOI10.1007/BF00970127zbMath0448.46010MaRDI QIDQ1146846

Semen S. Kutateladze

Publication date: 1980

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

zbMATH Keywords

positive linear operatorK-spaceKrein-Mil'man theoremsubdifferentials of convex operators

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Convex sets in topological linear spaces; Choquet theory (46A55) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (4)

Krein-Mil'man Theorem for Homogeneous Polynomials ⋮ The extremal structure of convex sets of multilinear operators ⋮ Erased Kantorovich spaces ⋮ Local convex analysis

Cites Work

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• Nonlinear system of first-order differential equations
• Hahn-Banach extensions which are maximal on a given cone
• A non-compact Krein-Mil'man theorem
• Extreme Positive Operators on Algebras of Functions.
• Minimal sublinear functionals
• On extreme points of regular convex sets
• Sublinear Functionals and Ideals in Partially Ordered Vector Spaces

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