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Quotient Spaces Without Bases in Nuclear Frechet Spaces

Published online by Cambridge University Press:  20 November 2018

Ed Dubinsky  and
Boris Mitiagin
Ed Dubinsky
Affiliation:
Clarkson College of Technology, Potsdam, New York
Boris Mitiagin
Affiliation:
Clarkson College of Technology, Potsdam, New York
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The first example of a nuclear Fréchet space without a basis was given by B. S. Mitiagin and N. M. Zobin [9; 10]. The question of existence of subspaces without bases in nuclear Fréchet spaces was recently settled in papers by P. Djakov and B. S. Mitiagin [2] and Ed Dubinsky [5]. In this paper we consider the analogous question for quotient spaces. As in the case of subspaces we obtain a complete solution to the problem.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 6 , 01 December 1978 , pp. 1296 - 1305
Copyright
Copyright © Canadian Mathematical Society 1978

References

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