Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ

DOI10.4064/sm-70-1-63-80zbMath0402.46008OpenAlexW906662373MaRDI QIDQ4186832

Dietmar Vogt, Max-Josef Wagner

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/218388

zbMATH Keywords

exact sequencequotient spacenuclear power series spaceprojected subspace

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)

Related Items (26)

Tame spaces and power series spaces ⋮ Characterization of subspaces of certain sequence spaces ⋮ (F)-spaces and strict (LF)-spaces ⋮ Nuclear Fréchet spaces with basis do not have the three-space property ⋮ Unnamed Item ⋮ Complemented infinite type power series subspaces of nuclear Fréchet spaces ⋮ On the characterization of subspaces and quotient spaces of stable power series spaces of finite type ⋮ On Projections in Power Series Spaces and the Existence of Bases ⋮ Characterization of the subspaces of (s) in the tame category ⋮ Extension operators for analytic functions defined on certain closed subvarieties of a Stein space ⋮ Every nuclear Frechet space is a quotient of a Köthe Schwartz space ⋮ Quotientenräume von stabilen Potenzreihenräumen endlichen Typs ⋮ Tameness of Pairs of Nuclear Power Series Spaces and Related Topics ⋮ Ein Isomorphiesatz für Potenzreihenräume ⋮ Basic sequences in some regular Köthe spaces ⋮ The splitting condition for the weighted \(\overline \partial\)-complex ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ Homological dimensions of modules of holomorphic functions on submanifolds of Stein manifolds ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions ⋮ Imbedding of power series spaces and spaces of analytic functions ⋮ Kolmogorov diameters in solution spaces of systems of partial differential equations ⋮ Complemented subspaces of sums and products of Banach spaces ⋮ Counterexamples in holomorphic functions on nuclear Fréchet spaces ⋮ Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen ⋮ Consequences of the existence of a non-compact operator between nuclear Köthe spaces ⋮ Two results on Fréchet Schwartz spaces

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