Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces
Vincenzo Moscatelli, Marilda Simões (1987)
Studia Mathematica
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Displaying similar documents to “Characterizing Fréchet-Schwartz spaces via power bounded operators”
Generalized Nash-Moser smoothing operators and the structure of Fréchet spaces
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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Diagonal nuclear operators
L. Crone, D. Fleming, P. Jessup (1972)
Studia Mathematica
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An inverse function theorem in Fréchet spaces without smoothing operators
B. Przeradzki (1988)
Annales Polonici Mathematici
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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.
Some properties of DF-dF-spaces.
G. M. Deheri (1995)
Extracta Mathematicae
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Lifting uniformly continuous maps with values in nuclear Fréchet spaces
Nguyen Van Khue (1990)
Annales Polonici Mathematici
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Geometry of nuclear spaces - I
B. Mityagin (1978-1979)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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A Result on Equicontinuous Sets of Operators on Nuclear Fréchet Spaces Related to the Bounded Approximation Property.
Andreas Benndorf (1982)
Mathematische Annalen
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Concrete subspaces of nuclear Fréchet spaces
Ed Dubinsky (1975)
Studia Mathematica
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On multilinear generalizations of the concept of nuclear operators
Dahmane Achour, Ahlem Alouani (2010)
Colloquium Mathematicae
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This paper introduces the class of Cohen p-nuclear m-linear operators between Banach spaces. A characterization in terms of Pietsch's domination theorem is proved. The interpretation in terms of factorization gives a factorization theorem similar to Kwapień's factorization theorem for dominated linear operators. Connections with the theory of absolutely summing m-linear operators are established. As a consequence of our results, we show that every Cohen p-nuclear (1 < p ≤ ∞ ) m-linear...
Bounded and unbounded operators between Köthe spaces
P. B. Djakov, M. S. Ramanujan (2002)
Studia Mathematica
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We study in terms of corresponding Köthe matrices when every continuous linear operator between two Köthe spaces is bounded, the consequences of the existence of unbounded continuous linear operators, and related topics.
Tame Spaces and Power Series Spaces.
Dietmar Vogt (1987)
Mathematische Zeitschrift
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