On closed subspaces with Schauder bases in non-archimedean Fréchet spaces

DOI10.1016/S0019-3577(01)80040-9zbMath1022.46048OpenAlexW4210271738MaRDI QIDQ1866444

Wiesław Śliwa

Publication date: 1 June 2003

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(01)80040-9

zbMATH Keywords

Schauder basisnon-archimedeanFréchet spaces of countable type

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

On block basic sequences in non-Archimedean Köthe 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 ⋮ On complemented subspaces of non-Archimedean Köthe spaces

Cites Work

• On the selection of basic orthogonal sequences in non-archimedean metrizable locally convex spaces
• Closed subspaces without Schauder bases in non-Archimedean Fréchet spaces
• Orthogonal sequences in non-Archimedean locally convex spaces
• Every infinite-dimensional non-Archimedean Fréchet space has an orthogonal basic sequence
• Examples of non-archimedean nuclear Fréchet spaces without a Schauder basis
• On the stability of orthogonal bases in non-archimedean metrizable locally convex spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item