Locally convex properties of free locally convex spaces

DOI10.1016/j.jmaa.2019.123453zbMath1451.46001arXiv1810.10250OpenAlexW2970875197MaRDI QIDQ2325971

Saak S. Gabriyelyan

Publication date: 4 October 2019

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

Full work available at URL: https://arxiv.org/abs/1810.10250

zbMATH Keywords

Dunford-Pettis propertyGrothendieck propertyfree locally convex spaceweak barrelledness(DF)-spacessequential Dunford-Pettis property

Mathematics Subject Classification ID

General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08)

Related Items

Tameness and Rosenthal type locally convex spaces, Properties of the weak and weak\(^\ast\) topologies of function spaces, Local completeness of \(C_k(X)\), A Banach space characterization of (sequentially) Ascoli spaces, Ascoli and sequentially Ascoli spaces, Unnamed Item, Topological properties of inductive limits of closed towers of metrizable groups, Ascoli's theorem for pseudocompact spaces, A note on free vector balleans, If not distinguished, is $C_{p}( X) $ even close?

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(C_k\)-stable closure of the class of (separable) metrizable spaces
• Descriptive topology in selected topics of functional analysis
• The dual of the locally convex space \(C_p(X)\)
• Sur quelques propriétés de l'espace C\(_s\)(T)
• The topology of compact convergence on continuous function spaces
• Grothendieck spaces with the Dunford-Pettis property
• On compactness in locally convex spaces
• Some new results on weak compactness
• The Mackey problem for free locally convex spaces
• Weak barrelledness for \(C(X)\) spaces
• Maximally almost periodic groups and respecting properties. In honour of Manuel López-Pellicer
• On topological spaces and topological groups with certain local countable networks
• On the Ascoli property for locally convex spaces
• Two new classes of locally convex spaces
• Functional representation of topological algebras
• On increasing sequences of absolutely convex sets in locally convex sets
• The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
• FREE TOPOLOGICAL GROUPS OF METRIZABLE SPACES
• Pseudocompact spaces $X$ and $df$-spaces $C_{c}\left ( X\right ) $
• Locally convex spaces and Schur type properties
• Weak Barrelledness Versus P-spaces
• A Note on the Inheritance of Properties of Locally Convex Spaces by Subspaces of Countable Codimension
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
• TOPOLOGICAL VECTOR SPACES OF CONTINUOUS FUNCTIONS
• On locally convex vector spaces of continuous functions