Characterization of subspaces and quotients of nuclear -spaces
Heikki Apiola (1983)
Compositio Mathematica
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Heikki Apiola (1983)
Compositio Mathematica
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Ed. Dubinsky (1970)
Studia Mathematica
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Moscatelli, Vincenzo Bruno
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Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Seán Dineen (1982)
Studia Mathematica
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Nguyen Van Khue, P. Thien Danh (1997)
Publicacions Matemàtiques
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Let E be a Frechet (resp. Frechet-Hilbert) space. It is shown that E ∈ (Ω) (resp. E ∈ (DN)) if and only if [H(O)]' ∈ (Ω) (resp. [H(O)]' ∈ (DN)). Moreover it is also shown that E ∈ (DN) if and only if H(E') ∈ (DN). In the nuclear case these results were proved by Meise and Vogt [2].