On the topology of simple convergence in non-Archimedean function spaces

DOI10.1016/0022-247X(85)90220-3zbMath0595.46069MaRDI QIDQ1077681

Athanasios Katsaras

Publication date: 1985

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

zbMATH Keywords

bornological spacefunctions with relatively compact rangenon-Archimedean F-locally convex spacenon-trivial complete non-Archimedean valued fieldsimple convergencespace of all continuous E-valued functionsultraregular Hausdorff space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Related Items

On the weak topology of Banach spaces over non-Archimedean fields

Cites Work

• Sur quelques propriétés de l'espace C\(_s\)(T)
• Bornological properties of spaces of non-Archimedean valued functions
• Further results on E-compact spaces. I
• Bornological Spaces of Non-Archimedean Valued Functions with the Compact- Open Topology
• Rings of Continuous Functions with Values in a Topological Field
• Bornological Spaces of Non-Archimedean Valued Functions with the Point-Open Topology
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