Positive \(p\)-summing operators and disjoint \(p\)-summing operators
The aim of this paper is to continue to develop the theory of positive \(p\)-summing operators. The authors present and introduce three new concepts, namely: positive \(p\)-majorizing operators, positive \((p,q)\)-dominated operators and disjoint \(p\)-summing operators. The first class is a dual of positive \(p\)-summing operators and is a natural generalization of majorizing operators. Using the second class, a positive version of Kwapień's factorization theorem for \((p,q)\)-dominated operators via positive \(p\)-majorizing operators is proved. Also, the authors give a characterization of the Radon-Nikodým property by using the disjoint \(p\)-summing operators.
scientific article; zbMATH DE number 7382085
scientific article