\(k\)-spaces and duals of non-Archimedean metrizable locally convex spaces

DOI10.1515/FORUM-2016-0080zbMath1405.46056OpenAlexW2883620157MaRDI QIDQ1791239

Maria Cristina Perez-Garcia

Publication date: 4 October 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0080

zbMATH Keywords

non-Archimedean valued fieldnon-Archimedean locally convex space\( k\)-space\(k_0\)-spacenon-Archimedean Banach-Dieudonné theorem

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) (k)-spaces (54D50)

Cites Work

• On the topology of compactoid convergence in non-Archimedean spaces
• Holomorphic mappings with prescribed Taylor expansions
• Additive subgroups of topological vector spaces
• Order topologies on \(l\)-algebras.
• The non-Archimedean Laplace transform
• On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis
• Applications of Hypocontinuous Bilinear Maps in Infinite-Dimensional Differential Calculus
• Small deformations of topological algebras
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