Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings

DOI10.1007/BF02567937zbMath0871.46001MaRDI QIDQ1352960

Alfred Göpfert, Tiberiu Trif, Wolfgang W. Breckner

Publication date: 20 February 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156212

zbMATH Keywords

weak singularitiesultrabarrelled spacescontinuous convex mappingslocally full ordered topological linear space

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Barrelled spaces, bornological spaces (46A08) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Lipschitz properties of convex functions

Cites Work

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• Quantitative extensions of the uniform boundedness principle
• Condensation of singularities and divergence results in approximation theory
• Barrelledness in topological and ordered vector spaces
• Topological vector spaces. The theory without convexity conditions
• Topological vector spaces and algebras
• Completions of Topological Vector Spaces
• Uniform Boundedness and Closed Graph Theorems for Convex Operators
• A baire approach to quantitative resonance principles

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