Geodesic
On Quotients of Non-Archimedean Köthe Spaces
Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 149-157

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DOI

We show that there exists a non-archimedean Fréchet-Montel space $W$ with a basis and with a continuous norm such that any non-archimedean Fréchet space of countable type is isomorphic to a quotient of $W$ . We also prove that any non-archimedean nuclear Fréchet space is isomorphic to a quotient of some non-archimedean nuclear Fréchet space with a basis and with a continuous norm.
DOI : 10.4153/CMB-2007-015-0
Mots-clés : 46S10, 46A45, Non-archimedean Köthe spaces, nuclear Fréchet spaces, pseudo-bases 
Śliwa, Wiesław. On Quotients of Non-Archimedean Köthe Spaces. Canadian mathematical bulletin, Tome 50 (2007) no. 1, pp. 149-157. doi: 10.4153/CMB-2007-015-0
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     year = {2007},
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     doi = {10.4153/CMB-2007-015-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2007-015-0/}
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