The space \(\mathcal D(\Omega)\) is not \(B_r\)-complete

DOI10.5802/aif.671zbMath0361.46005OpenAlexW2330747563MaRDI QIDQ1239452

Manuel Valdivia

Publication date: 1977

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1977__27_4_29_0

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 (3)

Pontryagin duality for subgroups and quotients of nuclear spaces ⋮ Über Folgenkonvergenz in lokalkonvexen Räumen ⋮ On the space \(\mathcal D(\Omega)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Mackey convergence and the closed graph theorem
• On \(B_r\)-completeness
• On countable locally convex direct sums
• The space of distributions \(D'(\Omega)\) is not \(B_r\)-complete
• Completeness and the open mapping theorem
• О В-полных топологических векторных группах
• THE SPACEDIS NOT HEREDITARILY COMPLETE
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: The space \(\mathcal D(\Omega)\) is not \(B_r\)-complete