Schauder decompositions of non-Archimedean Banach spaces

DOI10.1216/RMJM/1181072620zbMath0771.46044OpenAlexW2091813588MaRDI QIDQ1801933

Takemitsu Kiyosawa

Publication date: 17 August 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072620

zbMATH Keywords

completeSchauder decompositionspherically complete\((UM)\)-sequencefield with a nontrivial non-Archimedean valuationnon- Archimedean Banach 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; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Non-Archimedean valued fields (12J25)

Cites Work

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• Uniform convergence of operators and Grothendieck spaces with the Dunford-Pettis property
• On Spaces of Compact Operators in Non-Archimedean Banach Spaces
• On the Existence of [Schauder Decompositions in Banach Spaces]
• Decompositions and Reflexivity in Banach Spaces
• Schauder Decompositions in (m)

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