Denting points of convex sets and weak property \((\pi)\) of cones in locally convex spaces

DOI10.1007/s13398-021-01054-yzbMath1471.46006OpenAlexW3157088729MaRDI QIDQ2031849

Yanyan Li

Publication date: 15 June 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01054-y

zbMATH Keywords

angle propertybase for a conedenting pointpoint of continuityweak property \((\pi)\)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Barrelled spaces, bornological spaces (46A08) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered normed spaces (46B40)

Related Items (1)

Sublinear scalarizations for proper and approximate proper efficient points in nonconvex vector optimization

Cites Work

• On geometry of cones and some applications
• Characterizations of some remarkable classes of cones
• Density of the set of positive proper minimal points in the set of minimal points
• On dentability and cones with a large dual
• Geometry of cones and an application in the theory of Pareto efficient points
• A property of locally convex Baire spaces
• Banach space theory. The basis for linear and nonlinear analysis
• Locally Convex Spaces
• Characterizations of Denting Points
• On the Radon-Nikodym Theorem and Locally Convex Spaces with the Radon-Nikodym Property
• On Preserved and Unpreserved Extreme Points
• On solidness of polar cones
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