Bilinear forms and nuclearity
Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Hans Jarchow, Kamil John (1994)
Czechoslovak Mathematical Journal
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Nicole de Grande-de Kimpe (1981-1982)
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Hans Jarchow, Kamil John (1988)
Czechoslovak Mathematical Journal
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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...
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Studia Mathematica
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