On representation of linear operators on
Ivan Dobrakov (1971)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Some change of variable formulas in integral representation theory.”
On representation of linear operators on
Factorization theorem for -summing operators
Irene Ferrando (2011)
Czechoslovak Mathematical Journal
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We study some classes of summing operators between spaces of integrable functions with respect to a vector measure in order to prove a factorization theorem for -summing operators between Banach spaces.
Absolutely summing operators and measure amarts in Fréchet spaces
d. Quang Luu (1986)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
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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...
Conical measures and properties of a vector measure determined by its range
L. Rodríguez-Piazza, M. Romero-Moreno (1997)
Studia Mathematica
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We characterize some properties of a vector measure in terms of its associated Kluvánek conical measure. These characterizations are used to prove that the range of a vector measure determines these properties. So we give new proofs of the fact that the range determines the total variation, the σ-finiteness of the variation and the Bochner derivability, and we show that it also determines the (p,q)-summing and p-nuclear norm of the integration operator. Finally, we show that Pettis derivability...