On inductive limits of Banach spaces

DOI10.1007/BF01213785zbMath0327.46005OpenAlexW2001986113MaRDI QIDQ1226268

Manuel Valdivia

Publication date: 1975

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154312

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Barrelled spaces, bornological spaces (46A08) Duality theory for topological vector spaces (46A20) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (2)

Inductive and projective limits of Banach spaces of measurable functions with order unities with respect to power parameter ⋮ `Restricted' closed graph theorems

Cites Work

• Unnamed Item
• The space of distributions \(D'(\Omega)\) is not \(B_r\)-complete
• On \({\mathcal DJ}\)-spaces
• Some examples on quasi-barrelled spaces
• Completeness and the open mapping theorem
• A class of precompact sets in Banach spaces.

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