scientific article; zbMATH DE number 7151650

zbMath1431.54010MaRDI QIDQ5208230

Jerzy Kąkol, Juan Carlos Ferrando

Publication date: 15 January 2020

Full work available at URL: http://www.heldermann.de/JCA/JCA26/JCA264/jca26070.htm#jca263

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zbMATH Keywords

countable tightnessFréchet-Urysohn spacestrong dualdistinguished spacestrongest locally convex topology

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Uniform structures and generalizations (54E15) General theory of locally convex spaces (46A03)

Related Items (15)

\(\omega^{\omega}\)-base and infinite-dimensional compact sets in locally convex spaces ⋮ Approximation by pointwise bounded sets of continuous functions ⋮ Descriptive topology for analysts ⋮ Feral dual spaces and (strongly) distinguished spaces \(C(X)\) ⋮ Distinguished \(C_p(X)\) spaces and the strongest locally convex topology ⋮ Properties of the weak and weak\(^\ast\) topologies of function spaces ⋮ On bounded sets in \(C_k ( X )\) ⋮ Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\) ⋮ Distinguished \(C_p (X)\) spaces ⋮ On linear continuous operators between distinguished spaces \(C_p(X)\) ⋮ Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished ⋮ A note on the weak topology of spaces \(C_k(X)\) of continuous functions ⋮ If not distinguished, is $C_{p}( X) $ even close? ⋮ Distinguished vector-valued continuous function spaces and injective tensor products ⋮ A characterization of $X$ for which spaces $C_p(X)$ are distinguished and its applications

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