Tightness and distinguished Fréchet spaces

DOI10.1016/j.jmaa.2005.12.059zbMath1114.46001OpenAlexW4213194329WikidataQ59330125 ScholiaQ59330125MaRDI QIDQ852806

Manuel López-Pellicer, Jerzy Kąkol, Stephen A. Saxon, Juan Carlos Ferrando

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.059

zbMATH Keywords

class \(\mathfrak{G}\)K-analytic\(C_c(X)\)bornivorous \(\mathfrak{G}\)-representationquasi-Suslinquasibarrelled

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (24)

Spaces \(C(X)\) with ordered bases ⋮ \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra ⋮ Compact coverings for Baire locally convex spaces ⋮ Domination by second countable spaces and Lindelöf \(\Sigma \)-property ⋮ On bounded sets in \(C_k ( X )\) ⋮ Distinguished \(C_p (X)\) spaces ⋮ The strong Pytkeev property for topological groups and topological vector spaces ⋮ Quasi-Suslin weak duals ⋮ Topological properties of inductive limits of closed towers of metrizable groups ⋮ Free locally convex spaces with a small base ⋮ On realcompact topological vector spaces ⋮ On topological groups with a small base and metrizability ⋮ Compact covers and function spaces ⋮ A note on a theorem of Talagrand ⋮ On Some Problems of Grothendieck Concerning (F) and (DF) Spaces ⋮ Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups ⋮ Mackey hyperplanes/enlargements for Tweddle's space ⋮ The dual of the locally convex space \(C_p(X)\) ⋮ Sub-posets in \(\omega^\omega\) and the strong Pytkeev\(^*\) property ⋮ The quotient/codimension problems ⋮ If not distinguished, is $C_{p}( X) $ even close? ⋮ Weakly K-analytic spaces and the three-space property for analyticity ⋮ $P$-bases and topological groups ⋮ On C‐Suslin spaces

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