A note on the Baire and ultrabornological property of spaces \(C_ p(X,E)\)

DOI10.1007/BF01270613zbMath0876.46030MaRDI QIDQ1359095

Luis Sánches Ruiz, Jerzy Kąkol

Publication date: 3 August 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

inductive limittopology of pointwise convergencecompletely regular Hausdorff topological spaceFréchet spaceLindelöf \(P\)-spacespace of all continuous vector-valued functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Spaces of vector- and operator-valued functions (46E40) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (2)

Strongly Hewitt spaces ⋮ The semi-Baire-like three-space problems

Cites Work

• Sequential closure conditions and Baire-like spaces
• Sur quelques propriétés de l'espace C\(_s\)(T)
• Baire property of spaces of continuous functions
• Some properties of C(X). I
• Espaces de fonctions continues
• Differential calculus in topological linear spaces
• Some new classes of Banach-Mackey spaces
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• Cartesian products of Baire spaces
• Two Characterizations of Linear Baire Spaces
• On $K$-sequences
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