Extreme points of convex compact sets in the Hilbert cube

DOI10.1007/BF02509621zbMath0882.46003MaRDI QIDQ1364872

E. M. Bronshtein

Publication date: 5 November 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

extreme pointHilbert cubecompact convex setstopological imbeddingChoquet's representation theorem

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) 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)

Cites Work

• Extreme boundaries of convex bodies in \(\ell_2\)
• Extreme point properties of convex bodies in reflexive Banach spaces
• A New Proof that every Polish Space is the Extreme Boundary of a Simplex

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