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
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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.
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