Krein-Mil'man Theorem for Homogeneous Polynomials

DOI10.46698/y2866-6280-5717-iOpenAlexW4387105307MaRDI QIDQ6183936

Zalina Kusraeva

Publication date: 23 January 2024

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj875

zbMATH Keywords

extreme pointsconvex sethomogeneous polynomialvector latticeKreĭn-Mil'man theorem

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets and cones of operators (47L07) Multilinear and polynomial operators (47H60)

Cites Work

• Subdifferentials in Boolean-valued models of set theory
• The Krein-Mil'man theorem and its inverse
• Sublinear operators and operator-convex sets
• The extremal structure of convex sets of multilinear operators
• A non-compact Krein-Mil'man theorem
• Geometry of spaces of orthogonally additive polynomials on \(C(K)\)
• Extreme and exposed points of spaces of integral polynomials
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