Non-Baire hyperplanes in non-separable Baire spaces

DOI10.1016/0022-247X(92)90172-AzbMath0787.46001MaRDI QIDQ1206865

Stephen A. Saxon

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

every infinite-dimensional Banach space has a dense non-Baire hyperplaneexistence of a dense non-Baire hyperplane of a topological vector space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) General theory of locally convex spaces (46A03) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (3)

Compact coverings for Baire locally convex spaces ⋮ On a three-space property for Lindelöf \(\Sigma\)-spaces, (WCG)-spaces and the Sobczyk property ⋮ Mackey hyperplanes/enlargements for Tweddle's space

Cites Work

• (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology
• Subspaces of first category in Baire topological vector spaces
• Dense hyperplanes of first category
• Some normed barrelled spaces which are not Baire
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• A property of locally convex Baire spaces
• Metrizable [normable (LF)-spaces and two classical problems in Fréchet [Banach] spaces]
• Metrizable (LF)-spaces, (db)-spaces, and the separable quotient problem
• The equivalence of some Banach space problems
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