SEPARATION OF CONVEX SETS IN EXTENDED NORMED SPACES

DOI10.1017/S144678871500004XzbMath1337.46006MaRDI QIDQ2949822

Jon Vanderwerff, Gerald A. Beer

Publication date: 2 October 2015

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

zbMATH Keywords

convex conecoreconvex setcontinuous separationstrong separationproper separationextended normed spacestrict separation

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (4)

Extended seminorms and extended topological vector spaces ⋮ Dual of an extended locally convex space ⋮ The finest locally convex topology of an extended locally convex space ⋮ Structural properties of extended normed spaces

Cites Work

• Uniform continuity, uniform convergence, and shields
• Bornological convergence and shields
• The Lipschitz metric for real-valued continuous functions
• The structure of extended real-valued metric spaces
• Unnamed Item

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