On non-Archimedean Fréchet spaces with nuclear Köthe quotients

DOI10.1090/S0002-9947-10-05033-6zbMath1204.46043OpenAlexW2142060146MaRDI QIDQ3566716

Wiesław Śliwa

Publication date: 8 June 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-10-05033-6

zbMATH Keywords

orthogonal basesbiorthogonal sequencesnuclear Köthe quotientstrict LB-spaces

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) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Summability and bases in topological vector spaces (46A35)

Cites Work

• Examples of non-Archimedean Fréchet spaces without nuclear Köthe quotients
• Frechet Spaces with Nuclear Kothe Quotients
• On quotients of non‐Archimedean Fréchet spaces
• Orthogonal sequences in non-Archimedean locally convex spaces
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