Orthogonal sequences in non-Archimedean locally convex spaces

DOI10.1016/S0019-3577(00)89076-XzbMath0980.46056MaRDI QIDQ5935896

Cristina Pérez-García, Jerzy Kąkol, Wim H. Schikhof, Nicole De Grande-De Kimpe

Publication date: 28 June 2001

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

non-Archimedean valued complete fieldbasic sequencecharacterization of compactoidsorthogonal sequenceSchauder base

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Summability and bases in topological vector spaces (46A35)

Related Items (10)

Fréchet spaces of non-archimedean valued continuous functions ⋮ Remembering W. H. Schikhof ⋮ On non-Archimedean Fréchet spaces with nuclear Köthe quotients ⋮ On metrizable non-Archimedean \(LF\)-spaces ⋮ On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis ⋮ Every non-normable non-archimedean Köthe space has a quotient without the bounded approximation property ⋮ Examples of non-archimedean nuclear Fréchet spaces without a Schauder basis ⋮ On metrizability of compactoid sets in non-archimedean locally convex spaces ⋮ Closed subspaces without Schauder bases in non-Archimedean Fréchet spaces ⋮ On closed subspaces with Schauder bases in non-archimedean Fréchet spaces

Cites Work

• \(p\)-adic barrelledness and spaces of countable type
• The Orlicz-Pettis property in \(p\)-adic analysis
• Some remarks on boundedness of linear transformations from Banach spaces into Orlicz spaces of Lebesgue-Bochner measurable functions
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