Cones locally isomorphic to the positive cone of \(\ell _ 1(\Gamma)\)

DOI10.1016/0024-3795(86)90324-1zbMath0617.46029OpenAlexW2013099435MaRDI QIDQ1822007

Ioannis A. Polyrakis

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90324-1

zbMATH Keywords

Radon-Nikodým propertyKrein-Milman propertycontinuous projection propertydentableexistence of an extremal point

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 (4)

Cones with bounded and unbounded bases and reflexivity ⋮ Reflexive cones ⋮ Cone characterization of reflexive Banach lattices ⋮ On directional derivatives for cone-convex functions

Cites Work

• Extension theorems for linear lattices with positive algebraic basis
• Geometric aspects of convex sets with the Radon-Nikodym property
• Ordered linear spaces
• Extreme points of unbounded, closed and convex sets in Banach spaces
• Strongly exposed points in bases for the positive cone of ordered Banach spaces and characterizations of l₁(Г)

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