Resumen de On Quotients of Non-Archimedean Köthe Spaces

Wieslaw Sliwa

• 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.