The finite-dimensional decomposition property in non-Archimedean Banach spaces

DOI10.1007/S10114-014-3522-8zbMath1315.46082OpenAlexW1536434982MaRDI QIDQ477869

Albert Kubzdela, Cristina Pérez-García

Publication date: 10 December 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3522-8

zbMATH Keywords

Schauder basisorthogonalitynon-Archimedean functional analysisnon-Archimedean Banach spacefinite-dimensional decomposition

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; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

• A Banach space without a basis which has the bounded approximation property
• The Grothendieck approximation theory in non-Archimedean Functional Analysis
• The metric approximation property in non-archimedean normed spaces
• Examples of non-archimedean nuclear Fréchet spaces without a Schauder basis
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