scientific article; zbMATH DE number 3804230

zbMath0509.46062MaRDI QIDQ4747074

Nicole De Grande-De Kimpe

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Köthe spaceMackey topologynuclearitynon-Archimedean Frechet spaces with basis

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) 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) Non-Archimedean valued fields (12J25)

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The invariant subspace problem for non-Archimedean Köthe spaces ⋮ On relations between non-Archimedean power series spaces ⋮ On tame operators between non-Archimedean power series spaces ⋮ On block basic sequences in non-Archimedean Köthe spaces ⋮ The extension of \(p\)-adic compact operators. ⋮ Unnamed Item ⋮ Non-archimedean nuclearity and spaces of continuous functions ⋮ Fredholm theory for \(p\)-adic locally convex spaces ⋮ On non-Archimedean Fréchet spaces with nuclear Köthe quotients ⋮ \(p\)-adic semi-Montel spaces and polar inductive limits ⋮ On metrizable non-Archimedean \(LF\)-spaces ⋮ On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis ⋮ Every non-normable non-archimedean Köthe space has a quotient without the bounded approximation property ⋮ On some classes of non-Archimedean Köthe spaces ⋮ On complemented subspaces of non-Archimedean Köthe spaces ⋮ Unnamed Item ⋮ On closed subspaces with Schauder bases in non-archimedean Fréchet spaces

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