Ein Isomorphiesatz für Potenzreihenräume

DOI10.1007/BF01304829zbMath0477.46014MaRDI QIDQ1160851

Dietmar Vogt

Publication date: 1982

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

zbMATH Keywords

complemented subspacenuclear stable power series spaces of infinite typesequence space representations of concrete Frechet spaces

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) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (9)

Sequence space representations for weighted solution spaces of hypoelliptic systems of partial differential operators ⋮ On two classes of (F)-spaces ⋮ Bases in spaces of ultradifferentiable functions with compact support ⋮ Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions ⋮ Complemented infinite type power series subspaces of nuclear Fréchet spaces ⋮ On Projections in Power Series Spaces and the Existence of Bases ⋮ Unnamed Item ⋮ Tame sequence space representations of spaces of \(C^ \infty\)-functions ⋮ On the existence of a basis in a complemented subspace of a nuclear Köthe space from class $(d_1)$

Cites Work

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• Quotientenräume von stabilen Potenzreihenräumen endlichen Typs
• Charakterisierung der Unterräume von \((s)\)
• Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. I
• Die Nuklearität der Ultradistributionsräume und der Satz vom Kern. II
• Extension of Whitney fields from subanalytic sets
• Fortsetzungen von \(C^\infty\)-Funktionen, welche auf einer abgeschlossenen Menge in \(R^ n\) definiert sind
• Approximation polynomiale de fonctions \(C^ \infty\) et analytiques
• Régularité analytique et iterés d'opérateurs elliptiques dégénérées; applications
• Projections in certain Banach spaces
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• On certain subspaces of a nuclear power series spaces of finite type
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ
• LINEAR PROBLEMS OF COMPLEX ANALYSIS

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