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December 2007 Examples of non-archimedean twisted nuclear Fréchet spaces
Wiesław Śliwa
Bull. Belg. Math. Soc. Simon Stevin 14(5): 1017-1025 (December 2007). DOI: 10.36045/bbms/1197908911

Abstract

A Fréchet space is called twisted if it is not isomorphic to a countable product of Fréchet spaces with continuous norms. It is easy to show that no non-archimedean Fréchet space with a Schauder basis is twisted. We construct examples of non-archimedean twisted nuclear Fréchet spaces.

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Wiesław Śliwa. "Examples of non-archimedean twisted nuclear Fréchet spaces." Bull. Belg. Math. Soc. Simon Stevin 14 (5) 1017 - 1025, December 2007. https://doi.org/10.36045/bbms/1197908911

Information

Published: December 2007
First available in Project Euclid: 17 December 2007

zbMATH: 1134.46051
MathSciNet: MR2379005
Digital Object Identifier: 10.36045/bbms/1197908911

Subjects:
Primary: ‎46S10
Secondary: 46A04 , 46A11

Keywords: Projective limits of Fréchet spaces , strong dual of Fréchet spaces

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 5 • December 2007
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