Positive \(p\)-summing operators and disjoint \(p\)-summing operators
type: Item
instance of: scholarly article
title: Positive \(p\)-summing operators and disjoint \(p\)-summing operators
zbMATH Open document ID: 1494.47032
author: Amar Belacel
author: Javier Alejandro Chávez-Domínguez
author: Dongyang Chen
published in: Positivity
publication date: 2021-08-16T00:00:00Z
review text: 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.
reviewed by: Elhadj Dahia
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 46B28
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 46B45
zbMATH DE Number: 7382085
zbMATH Keywords: positive \(p\)-summing operators
zbMATH Keywords: positive \(p\)-majorizing operators
zbMATH Keywords: positive \((p, q)\)-dominated operators
zbMATH Keywords: disjoint \(p\)-summing operators
MaRDI profile type: Publication
full work available at URL: s11117-020-00798-y
OpenAlex ID: W3120458226
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DOI: 10.1007/S11117-020-00798-Y
description: scientific article; zbMATH DE number 7382085