Distinguished \(C_p(X)\) spaces and the strongest locally convex topology

DOI10.1007/s13398-023-01498-4OpenAlexW4386497997MaRDI QIDQ6085342

Stephen A. Saxon, Juan Carlos Ferrando

Publication date: 8 November 2023

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://doi.org/10.1007/s13398-023-01498-4

zbMATH Keywords

barrelledbidualstationary setsdistinguished\(\Sigma(X)\)\(\varphi\)-complemental

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) General theory of locally convex spaces (46A03) Barrelled spaces, bornological spaces (46A08)

Related Items (1)

Approximation by pointwise bounded sets of continuous functions

Cites Work

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• The dual of the locally convex space \(C_p(X)\)
• Sur quelques propriétés de l'espace C\(_s\)(T)
• (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology
• Duality theory for the topology of simple convergence
• Weak barrelledness for \(C(X)\) spaces
• Distinguished vector-valued continuous function spaces and injective tensor products
• Pseudocompact \(\Delta\)-spaces are often scattered
• Approximation by pointwise bounded sets of continuous functions
• Distinguished \(C_p (X)\) spaces
• On linear continuous operators between distinguished spaces \(C_p(X)\)
• Über nicht-vollständige Montelräume
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• A property of locally convex Baire spaces
• Montel (DF)-Spaces, Sequential (LM)-Spaces and the Strongest Locally Convex Topology
• Barrelled spaces and dense vector subspaces
• Proceedings of the Royal Irish Academy Papers Read Before the Academy;The Fréchet–Urysohn Property, (<i>LM</i>)-Spaces and the Strongest Locally Convex Topology
• BORNOLOGICAL COUNTABLE ENLARGEMENTS
• The fit and flat components of barrelled spaces
• If not distinguished, is $C_{p}( X) $ even close?
• Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished
• Topological Vector Spaces and Their Applications
• Every Countable-Codimensional Subspace of a Barrelled Space is Barrelled
• Varieties of Linear Topological Spaces
• A characterization of $X$ for which spaces $C_p(X)$ are distinguished and its applications
• Feral dual spaces and (strongly) distinguished spaces \(C(X)\)

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