The Ramsey theorem and complemented basic sequences in Fréchet spaces with absolute finite-dimensional decompositions

DOI10.1007/BF01195221zbMath0655.46002OpenAlexW2042227607MaRDI QIDQ1109279

Timo Ketonen, Kaisa Nyberg

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01195221

zbMATH Keywords

Ramsey theoremcomplemented basic sequencenuclear Fréchet space with a decomposition into two-dimensional blocks

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) 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

• Nuclear Fréchet spaces with locally round finite dimensional decomposition
• Complemented basic sequences in nuclear Frechet spaces with finite dimensional decompositions
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