Metrizable (LF)-spaces, (db)-spaces, and the separable quotient problem
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Publication:3894456
DOI10.1017/S0004972700006900zbMath0448.46003MaRDI QIDQ3894456
P. P. Narayanaswami, Stephen A. Saxon
Publication date: 1981
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inductive and projective limits in functional analysis (46M40)
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Continuous function spaces, (db)-spaces and strongly Hewitt spaces ⋮ A survey on recent advances on the Nikodým boundedness theorem and spaces of simple functions ⋮ On the completion of (LF)-spaces ⋮ On ordered suprabarrelled spaces ⋮ BARRELLED SPACES WITH(OUT) SEPARABLE QUOTIENTS ⋮ Dense Barrelled Subspaces of Uncountable Codimension ⋮ A topological group observation on the Banach-Mazur separable quotient problem ⋮ Separable quotients for less-than-barrelled function spaces ⋮ \((LF)\)-spaces with more-than-separable quotients ⋮ The separable quotient problem and the strongly normal sequences ⋮ C//kappa(X) and a property of (db)-spaces ⋮ Non-Baire hyperplanes in non-separable Baire spaces ⋮ The separable quotient problem for topological groups ⋮ The quotient/codimension problems ⋮ (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology ⋮ Separable quotients in 𝐶_{𝑐}(𝑋), 𝐶_{𝑝}(𝑋), and their duals
Cites Work
- 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
- Inclusion Theorems forK-Spaces
- Every Countable-Codimensional Subspace of a Barrelled Space is Barrelled
- Varieties of Linear Topological Spaces
