Uniform Boundedness and Closed Graph Theorems for Convex Operators

DOI10.1002/MANA.19851200111zbMath0582.46006OpenAlexW2071610211MaRDI QIDQ3705983

Michael M. Neumann

Publication date: 1985

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19851200111

zbMATH Keywords

automatic continuitybarrelledpositive linear operatorspositive functionalswebbed spacesultrabarrelledclosed graph type theoremscontinuity of every closed convex operator at every algebraically interior point of its domainprinciple of uniform boundedness for convex operatorssome weak kind of monotonicity implies the continuity of a convex operator

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Convex sets in topological linear spaces; Choquet theory (46A55) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (3)

Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings ⋮ Convex solutions to polynomial-like iterative equations on open intervals ⋮ Lipschitz properties of convex functions

Cites Work

• Barrelledness in topological and ordered vector spaces
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