Infinite-dimensional Krasnosel'skii-type criteria for cones

DOI10.1007/BF01207547zbMath0783.46011OpenAlexW1989986922MaRDI QIDQ1312344

V. Pereyra

Publication date: 31 January 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01207547

zbMATH Keywords

\(R\)-kernelclearly \(R\)-visibleinfinite-dimensional Helly-typeinfinite-dimensional Krasnosel'skii-type theorems for cones

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07)

Related Items (3)

Solution of the problem of combinatorial characterization of the dimension of the kernel of a starshaped set ⋮ Sets which are almost starshaped ⋮ Representations of starshaped sets in normed linear spaces

Cites Work

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• Points of local nonconvexity, clear visibility, and starshaped sets in \(R^ n\)
• Simple proof of a criterion for cones in \(\mathbb{R}^ 3\)
• Intersection formulae for the kernel of a cone
• Krasnosel'skii-type characterizations for a cone
• Clear visibility strikes again
• Determining dimension of the kernel of a cone
• Clear visibility, starshaped sets, and finitely starlike sets
• The structure of semispaces
• Local Convexity and L n Sets

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