A Grothendieck representation for the completion of cones of continuous seminorms

DOI10.1007/BF01432521zbMath0263.46004MaRDI QIDQ2561358

Wolfgang M. Ruess

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/162558

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Barrelled spaces, bornological spaces (46A08)

Related Items (7)

Weak barrelledness for \(C(X)\) spaces ⋮ Local completeness and dual local quasi-completeness ⋮ Closed graph theorems for generalized inductive limit topologies ⋮ Locally convex spaces not containing \(l^1\) ⋮ Unnamed Item ⋮ If not distinguished, is $C_{p}( X) $ even close? ⋮ Infra-Mackey spaces, weak barrelledness and barrelledness

Cites Work

• On the behaviour of linear mappings on absolutely convex sets and A. Grothendieck's completion of locally convex spaces
• Two new classes of locally convex spaces
• Ordered linear spaces
• Absolutely convex sets in barrelled spaces
• On the finest locally convex topology agreeing with a given topology on a sequence of absolutely convex sets
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• Sublineare Funktionale
• A Generalized Form of Inductive-Limit Topology for Vector Spaces
• A Note on the Inheritance of Properties of Locally Convex Spaces by Subspaces of Countable Codimension
• Every Countable-Codimensional Subspace of a Barrelled Space is Barrelled
• Countable-codimensional subspaces of locally convex spaces
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