Every non-normable non-archimedean Köthe space has a quotient without the bounded approximation property

DOI10.1016/S0019-3577(04)80020-XzbMath1083.46041OpenAlexW2144274886MaRDI QIDQ2486120

Wiesław Śliwa

Publication date: 5 August 2005

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(04)80020-x

zbMATH Keywords

Schauder basisbounded approximation propertynon-archimedean Köthe space

Mathematics Subject Classification ID

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

Related Items (1)

On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis

Cites Work

• An example of a nuclear Fréchet space without the bounded approximation property
• Closed subspaces without Schauder bases in non-Archimedean Fréchet spaces
• On closed subspaces with Schauder bases in non-archimedean Fréchet spaces
• Minimal-Hausdorff \(p\)-adic locally convex spaces
• Fréchet spaces with quotients failing the bounded approximation property
• Orthogonal sequences in non-Archimedean locally convex spaces
• Examples of non-archimedean nuclear Fréchet spaces without a Schauder basis
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