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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Keywords
Non-archimedean Kothe spaces, Nuclear Frechet spaces; pseudo-bases
Citation
Canad. Math. Bull., 50(2007), 149-157.