Every infinite-dimensional non-Archimedean Fréchet space has an orthogonal basic sequence

DOI10.1016/S0019-3577(00)80010-5zbMath0980.46057OpenAlexW2131584812MaRDI QIDQ5935916

Wiesław Śliwa

Publication date: 28 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(00)80010-5

zbMATH Keywords

non-Archimedean valued complete fieldbasic sequenceSchauder baseFréchet space

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 (5)

A topological group observation on the Banach-Mazur separable quotient problem ⋮ On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis ⋮ Examples of non-archimedean nuclear Fréchet spaces without a Schauder basis ⋮ Closed subspaces without Schauder bases in non-Archimedean Fréchet spaces ⋮ On closed subspaces with Schauder bases in non-archimedean Fréchet spaces

Cites Work

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