On Projections in Power Series Spaces and the Existence of Bases

DOI10.2307/2046948zbMath0684.46010OpenAlexW4239696444MaRDI QIDQ4734295

Jörg Krone

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046948

zbMATH Keywords

power series spacediametral dimensionsFrèchet space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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) Summability and bases in topological vector spaces (46A35)

Related Items (2)

Complemented infinite type power series subspaces of nuclear Fréchet spaces ⋮ Linear topological structure of closed ideals in weighted algebras of entire functions

Cites Work

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• Ein Isomorphiesatz für Potenzreihenräume
• Charakterisierung der Unterräume von \((s)\)
• The structure of nuclear Frechet spaces
• Die diametrale Dimension von lokalkonvexen Räumen
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ

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