Every nuclear Frechet space is a quotient of a Köthe Schwartz space

DOI10.1007/BF01235382zbMath0437.46004MaRDI QIDQ1141313

Heikki Apiola

Publication date: 1980

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

zbMATH Keywords

nuclear Frechet spaceDragilev functionKöthe Schwartz spacesplitting of exact sequences

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) Inductive and projective limits in functional analysis (46M40)

Related Items (3)

Unnamed Item ⋮ Jeder nukleare (F)-Raum ist Quotient eines nuklearen Köthe-Raumes ⋮ Two results on Fréchet Schwartz spaces

Cites Work

• Charakterisierung der Unterräume von \((s)\)
• The structure of nuclear Frechet spaces
• Die diametrale Dimension von lokalkonvexen Räumen
• Some problems on bases in Banach and Frechet spaces
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• Quotient spaces of (s) with basis
• On extending and lifting continuous linear mappings in topological vector spaces
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ
• Some remarks on Dragilev's theorem
• On the isomorphism of cartesian products of locally convex spaces
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