Strongly exposed points in bases for the positive cone of ordered Banach spaces and characterizations of l1(Г)

DOI10.1017/S0013091500017648zbMath0603.46029OpenAlexW2079118140MaRDI QIDQ3739683

Ioannis A. Polyrakis

Publication date: 1986

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500017648

zbMATH Keywords

Radon-Nikodým propertybasestrictly positive linear functionaldentablecharacterizations of \(\ell _ 1(\Gamma )\)existence of strongly exposed points

Mathematics Subject Classification ID

Banach lattices (46B42) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered topological linear spaces, vector lattices (46A40)

Related Items (2)

Embeddability of \(L_{1}(\mu)\) in dual spaces, geometry of cones and a characterization of \(c_{0}\). ⋮ Cones locally isomorphic to the positive cone of \(\ell _ 1(\Gamma)\)

Cites Work

• Extension theorems for linear lattices with positive algebraic basis
• Geometric aspects of convex sets with the Radon-Nikodym property
• Dentability and extreme points in Banach spaces
• Ordered linear spaces
• Simplexes and Vector Lattices
• Lattice Banach spaces, order-isomorphic to l₁
• Extreme points of unbounded, closed and convex sets in Banach spaces
• Dans Un Espace de Banach Reticule Solide, La Propriete de Radon-Nikodym et Celle de Krein-Milman Sont Equivalentes

This page was built for publication: Strongly exposed points in bases for the positive cone of ordered Banach spaces and characterizations of l₁(Г)