Free locally convex spaces with a small base

DOI10.1007/S13398-016-0315-1zbMath1387.46006arXiv1604.02555OpenAlexW2963141664MaRDI QIDQ523129

Jerzy Kąkol, Saak S. Gabriyelyan

Publication date: 20 April 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02555

zbMATH Keywords

\(C_k(X)\)compact resolution\(\mathfrak G\)-basefree locally convex space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Related Items (5)

A characterization of the existence of a fundamental bounded resolution for the space \(C_c(X)\) in terms of \(X\) ⋮ \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Descriptive topology for analysts ⋮ Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\)

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