Classification of semispaces according to their types in infinite-dimensional vector spaces

DOI10.1007/BF02310300zbMath0933.52004OpenAlexW2087050181MaRDI QIDQ1282524

E. A. Semenkova, Valentin V. Gorokhovik

Publication date: 4 April 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02310300

zbMATH Keywords

convex setcomplete preorderpointed coneinfinite-dimensional vector spacesemispaces

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (2)

Step-affine functions, halfspaces, and separation of convex sets with applications to convex optimization problems ⋮ Contractibility of half-spaces of partial convexity

Cites Work

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• Lexicographical order, lexicographical index, and linear operators
• The structure of hemispaces in \({\mathbb{R}}^ n\)
• Recession cones and the domination property in vector optimization
• Maximal convex sets
• The structure of semispaces
• Convex half-spaces
• Exact quasiconvex conjugation
• Convex Analysis
• Ein Beweis des Satzes von M. Eidelheit über konvexe Mengen

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