A Note on Countably Normed Nuclear Spaces
Copyright policy )A Note on Countably Normed Nuclear Spaces
A modification of the Kōmura-Kōmura imbedding theorem is used to show that every countably normed nuclear space is isomorphic to a subspace of a nuclear Fréchet space with basis and a continuous norm. The space with basis can be chosen to be a quotient of ( s ) (s) .
- University of Helsinki Finland
Nuclear Fréchet space, countably normed nucler Köthe space, Locally convex Fréchet spaces and (DF)-spaces, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), subspaces of nuclear Köthe spaces with a continuous norm, Kōmura- Kōmura imbedding theorem, Spaces defined by inductive or projective limits (LB, LF, etc.), Sequence spaces (including Köthe sequence spaces), nuclear Fréchet space without the bounded approximation property
Nuclear Fréchet space, countably normed nucler Köthe space, Locally convex Fréchet spaces and (DF)-spaces, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), subspaces of nuclear Köthe spaces with a continuous norm, Kōmura- Kōmura imbedding theorem, Spaces defined by inductive or projective limits (LB, LF, etc.), Sequence spaces (including Köthe sequence spaces), nuclear Fréchet space without the bounded approximation property
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