Absolutely P-Summing, P-Nuclear Operators and Their Conjugates.
Joel S. Cohen (1973)
Mathematische Annalen
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Displaying similar documents to “On the r-Nuclearity of Gaussian Covariances and the Composition of Nuclear Operators.”
Absolutely P-Summing, P-Nuclear Operators and Their Conjugates.
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On multilinear generalizations of the concept of nuclear operators
Dahmane Achour, Ahlem Alouani (2010)
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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...