Tameness of Pairs of Nuclear Power Series Spaces and Related Topics

DOI10.2307/1999152zbMath0521.46007OpenAlexW4255813755MaRDI QIDQ3671677

Kaisa Nyberg

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999152

zbMATH Keywords

short exact sequencequotient spacessplitting sequencefinite type power series spacestame pair

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (5)

A tame splitting theorem for Köthe spaces ⋮ On tame operators between non-Archimedean power series spaces ⋮ On tame pairs of Fréchet spaces ⋮ Tameness in Fréchet spaces of analytic functions ⋮ The splitting relation for Köthe spaces

Cites Work

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• Regular bases in products of power series spaces
• The structure of nuclear Frechet spaces
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Infinite type power series subspaces of finite type power series spaces
• Twisted sums of nuclear Fréchet spaces
• Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
• On Pairs of Köthe Spaces between Which All Operators Are Compact
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ
• Isomorphic embeddings of some generalized power series spaces
• On the isomorphism of cartesian products of locally convex spaces

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