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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A Fréchet-Schwartz space with basis having a complemented subspace without basis


Author: Jari Taskinen
Journal: Proc. Amer. Math. Soc. 113 (1991), 151-155
MSC: Primary 46A35; Secondary 46A04, 46A11
MathSciNet review: 1049851
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Abstract: Using a method introduced by Pelczyński we show that for a nuclear Fréchet space $ E$ without basis we can find a Fréchet-Schwartz space $ F$ with basis containing a complemented, isomorphic copy of $ E$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1049851-8
PII: S 0002-9939(1991)1049851-8
Article copyright: © Copyright 1991 American Mathematical Society