A tame splitting theorem for Köthe spaces

DOI10.1007/BF01198355zbMath0639.46001OpenAlexW2047533149MaRDI QIDQ1100392

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/bf01198355

zbMATH Keywords

twisted sumstame right inverseFréchet spaces with fixed gradingsgradings of nuclear Köthe spacesnuclear power series spacesshort exact sequence of Fréchet spacestame left inversetame short exact sequencetame splitting

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) 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)

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Cites Work

• Tame spaces and power series spaces
• Twisted sums of nuclear Fréchet spaces
• Tameness of Pairs of Nuclear Power Series Spaces and Related Topics
• Splitting twisted sums of nuclear Köthe spaces
• Unnamed Item