On the Strongly Extreme Points of Convex Bodies in Separable Banach Spaces

DOI10.2307/2159387zbMath0758.46015OpenAlexW4256002881MaRDI QIDQ3987602

Bor-Luh LIn, B. V. Godun, Stanimir Troyanski

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159387

zbMATH Keywords

extreme pointreflexive Banach spaceequivalent normbounded closed convex setbounded closed convex body

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (6)

Convexity and smoothness of Banach spaces with numerical index one ⋮ Diameter 2 properties and convexity ⋮ On an open problem regarding totally Fenchel unstable functions ⋮ On strongly extreme points in Köthe-Bochner spaces ⋮ Some generalizations of locally uniform rotundity ⋮ A note on extreme points of $C^\infty $-smooth balls in polyhedral spaces

Cites Work

• Martingale proofs of some geometrical results in Banach space theory
• On the structure of non-dentable closed bounded convex sets
• Extreme point properties of convex bodies in reflexive Banach spaces
• Unnamed Item

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