On complemented subspaces of non-Archimedean Köthe spaces

DOI10.1016/j.jmaa.2018.10.011zbMath1414.46052OpenAlexW2897370769MaRDI QIDQ1799791

Agnieszka Ziemkowska, Wiesław Śliwa

Publication date: 19 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.011

zbMATH Keywords

Köthe spacesFréchet-Montel spacesgeneralized power series spacesnon-Archimedean Fréchet spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Cites Work

• Complemented infinite type power series subspaces of nuclear Fréchet spaces
• The structure of nuclear Frechet spaces
• On closed subspaces with Schauder bases in non-archimedean Fréchet spaces
• On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis
• Examples of non-Archimedean twisted nuclear Fréchet spaces
• On non-Archimedean generalized power series spaces
• On complemented subspaces of non-Archimedean generalized power series spaces
• Power Series Space Representations of Nuclear Frechet Spaces
• On some classes of non-Archimedean Köthe spaces
• Isomorphic embeddings of some generalized power series spaces
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