The space of distributions \(D'(\Omega)\) is not \(B_r\)-complete

DOI10.1007/BF01344168zbMath0288.46033OpenAlexW2001686916MaRDI QIDQ1846599

Manuel Valdivia

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/162640

Mathematics Subject Classification ID

Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items

(F)-spaces and strict (LF)-spaces, On Ptak's generalization of the open-mapping and closed-graph theorems, A note on surjections of locally convex spaces, Unnamed Item, On \(B_r\)-completeness, Closed graph theorems for generalized inductive limit topologies, On inductive limits of Banach spaces, The space \(\mathcal D(\Omega)\) is not \(B_r\)-complete, On the space \(\mathcal D(\Omega)\), Solutions of D. A. Raikov's problems in the theory of topological vector spaces

Cites Work

• Completeness and the open mapping theorem
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