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Search: All articles in the CMB digital archive with keyword nuclear Fréchet spaces

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1. CMB 2007 (vol 50 pp. 149)

Śliwa, Wiesław
On Quotients of Non-Archimedean Köthe Spaces
We show that there exists a non-archimedean Fr\'echet-Montel space $W$ with a basis and with a continuous norm such that any non-archimedean Fr\'echet space of countable type is isomorphic to a quotient of $W$. We also prove that any non-archimedean nuclear Fr\'echet space is isomorphic to a quotient of some non-archimedean nuclear Fr\'echet space with a basis and with a continuous norm.

Keywords:Non-archimedean Köthe spaces, nuclear Fréchet spaces, pseudo-bases
Categories:46S10, 46A45

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