On Quotients of Non-Archimedean Köthe Spaces

• Autores: Wieslaw Sliwa
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 1, 2007, págs. 149-158
• Idioma: inglés
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• Resumen

  • 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.