On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
Andreas Benndorf (1983)
Studia Mathematica
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Displaying similar documents to “Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces”
On the relation of the bounded approximation property and a finite dimensional decomposition in nuclear Fréchet spaces
A normability condition on locally convex spaces.
S. Önal, T. Terzioglu (1991)
Revista Matemática de la Universidad Complutense de Madrid
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In a previous work (1990) we introduced a certain property (y) on locally convex spaces and used it to remove the assumption of separability from the theorem of Bellenot and Dubinsky on the existence of nuclear Köthe quotients of Fréchet spaces. Our purpose is to examine condition (y) further and relate it to some other normability conditions. Some of our results were already announced in Önal (1989).
Each Schwartz Fréchet space is a subspace of a Schwartz Fréchet space with an unconditional basis
Steven F. Bellenot (1980)
Compositio Mathematica
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Bilinear forms and nuclearity
Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Diagonal nuclear operators
L. Crone, D. Fleming, P. Jessup (1972)
Studia Mathematica
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The internal structure of some spaces.
Jesús M. Fernández Castillo (1986)
Extracta Mathematicae
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Unsolved Problems
N. Aronszajn, L. Gross, S. Kwapień, N. Nielsen, A. Pełczyński, A. Pietsch, L. Schwartz, P. Saphar, S. Chevet, R. Dudley, D. Garling, N. Kalton, B. Mitjagin, S. Rolewicz, E. Schock, J. Daleckiĭ, J. Dobrakov, B. Gelbaum, G. Henkin, L. Nachbin, N. Peck, L. Waelbroeck, P. Porcelli, M. Rao, M. Zerner, V. Zakharjuta (1970)
Studia Mathematica
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Some normability conditions on Fréchet spaces.
Tosun Terzioglu, Dietmar Vogt (1989)
Revista Matemática de la Universidad Complutense de Madrid
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We define two new normability conditions on Fréchet spaces and announce some related results.