A note on \(B\)- and \(B_ r\)-completeness

DOI10.1007/BF01428226zbMath0226.46007MaRDI QIDQ2549130

Yanyan Li

Publication date: 1972

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

Full work available at URL: https://eudml.org/doc/162281

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (5)

Convex sets in metrizable spaces ⋮ \(B_r\) completeness ⋮ Conditions for certain forms of completeness in the class of projective limits of sequences of inductive limits of sequences of Frechet spaces ⋮ From B-completeness to countable codimensional subspaces via the closed graph theorem ⋮ Einige Vererbbarkeitseigenschaften von B- und B\(_r\)-vollständigen Räumen

Cites Work

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• Locally convex spaces with the \(B(J)\)-property
• Absolutely convex sets in barrelled spaces
• Sur un théorème de Banach
• On The Closed Graph Theorem
• Quasi-Reflexive Spaces
• Completeness and the open mapping theorem
• Products of fully complete spaces
• Every Countable-Codimensional Subspace of a Barrelled Space is Barrelled

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