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On Quotients of Non-Archimedean Köthe Spaces

Published online by Cambridge University Press:  20 November 2018

Wiesław Śliwa
Wiesław Śliwa*
Affiliation:
Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland e-mail: sliwa@amu.edu.pl
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Abstract

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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.

Keywords

46S1046A45Non-archimedean Köthe spacesnuclear Fréchet spacespseudo-bases
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 50 , Issue 1 , 01 March 2007 , pp. 149 - 157
Copyright
Copyright © Canadian Mathematical Society 2007

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