On modifications of the classes of \(p\)-nuclear, \(p\)-summing, and~\(p\)-integral operators (Q1972186)

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scientific article; zbMATH DE number 1432309
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English
On modifications of the classes of \(p\)-nuclear, \(p\)-summing, and~\(p\)-integral operators
scientific article; zbMATH DE number 1432309

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    On modifications of the classes of \(p\)-nuclear, \(p\)-summing, and~\(p\)-integral operators (English)
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    16 April 2000
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    The author studies the classes of lattice-\(p\)-nuclear, lattice-\(p\)-summing, and lattice-\(p\)-integral operators which are defined by analogy with the well-known classes of \(p\)-nuclear, \(p\)-summing, and \(p\)-integral operators in the book by \textit{A.~Pietsch} [``Operator ideals'', North-Holland Math. Libr. Vol. 20, Amsterdam etc., XVIII, 432 p. (1980; Zbl 0434.47030)].
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    Banach lattice
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    operator ideal
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    \(p\)-nuclear operator
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    \(p\)-summing operator
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    \(p\)-integral operator
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    lattice-\(p\)-integral operators
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