A note on countably normed nuclear spaces

Holmström, Lasse

doi:10.1090/S0002-9939-1983-0715865-3

A note on countably normed nuclear spaces
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Proc. Amer. Math. Soc. 89 (1983), 453-456 Request permission

Abstract:

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 $(s)$.

References

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Über die Einbettung der nuklearen Räume in

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