Characterization of the subspaces of (s) in the tame category

DOI10.1007/BF01188524zbMath0663.46003MaRDI QIDQ1114116

Markus Poppenberg

Publication date: 1990

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

zbMATH Keywords

property (DN)space of rapidly decreasing sequencescomplete characterization of all graded Fréchet spacesFréchet spaces equipped with a fixed fundamental system of seminormsKomura imbedding theoremproperty (DNDZ)splitting theorem for exact sequences of Fréchet spacestame nuclearitytame splitting theoremtamely isomorphic to a subspace of s

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

Nash moser methods for the solution of quasilinear schrödinger equations, A tame splitting theorem for exact sequences of Fréchet spaces, Tame sequence space representations of spaces of \(C^ \infty\)-functions, Properties \((\text{DN}_{(\phi,\psi)})\) and \(\Omega_{(\phi,\psi)}\) for Fréchet spaces, A sufficient condition of type \((\Omega{})\) for tame splitting of short exact sequences of Fréchet spaces, Simultaneous smoothing and interpolation with respect to E. Borel's theorem

Cites Work

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