A uniform boundedness theorem for locally convex cones

DOI10.1090/S0002-9939-98-04699-1zbMath0894.46002OpenAlexW1488342920MaRDI QIDQ4387073

Walter Roth

Publication date: 6 May 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04699-1

zbMATH Keywords

locally convex conesuniform boundedness theorembarreled conesweak cone-completeness

Mathematics Subject Classification ID

Barrelled spaces, bornological spaces (46A08) Spaces of linear operators; topological tensor products; approximation properties (46A32) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (14)

Some notes on barreledness in locally convex cones ⋮ Introduction to sublinear analysis ⋮ Pointwise well-posedness and scalarization of optimization problems for locally convex cone-valued functions ⋮ Projective and inductive limits in locally convex cones ⋮ Compact subdifferentials in Banach spaces and their applications to variational functionals ⋮ Compact subdifferentials in Banach cones ⋮ Locally convex product and direct sum cones ⋮ Strict inductive limits in locally convex cones ⋮ Duality on locally convex cones ⋮ A random multivalued uniform boundedness principle ⋮ Unnamed Item ⋮ Some applications of the open mapping theorem in locally convex cones ⋮ Optimization problems for locally convex cone-valued functions ⋮ Openness and continuity in locally convex cones

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