Basic sequences in some regular Köthe spaces

DOI10.1007/BF01165784zbMath0497.46001MaRDI QIDQ1170722

Zafer Nurlu

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154880

zbMATH Keywords

basic sequenceregular basisDragilev spaceclosed, linear subspaces of nuclear Köthe spacesregular Köthe subspacesregular, unstable subspaces

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) Summability and bases in topological vector spaces (46A35)

Cites Work

• Charakterisierung der Unterräume von \((s)\)
• Die diametrale Dimension von lokalkonvexen Räumen
• Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ
• Every nuclear Fréchet space with a regular basis has the quasi-equivalence property
• Basic sequences in (s)
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ
• Introduction to the Theory of Bases
• ON SPECIAL DIMENSIONS DEFINED ON SOME CLASSES OF KÖTHE SPACES
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