On Quotients of Non-Archimedean Kothe Spaces

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Date

2007

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Canadian Mathematical Society

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Abstract

We show that there exists a non-archimedean Frechet-Montel space W with a basis and with a continuous norm such that any non-archimedean Frechet space of countable type is isomorphic to a quotient of W. We also prove that any non-archimedean nuclear Frechet space is isomorphic to a quotient of some non-archimedean nuclear Frechet space with a basis and with a continuous norm.

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Non-archimedean Kothe spaces, Nuclear Frechet spaces; pseudo-bases

Citation

Canad. Math. Bull., 50(2007), 149-157.

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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego