, Volume 18, Issue 4, pp 785–804 | Cite as

Domination and factorization theorems for positive strongly \(p\)-summing operators

  • D. AchourEmail author
  • A. Belacel


The aim of this work is to contribute to the theory of \((p,q)\)-summing operators. We focus on positive \((p,q)\)-summing operators, introduced by Blasco (Collect Math 37(1):13–22, 1986). We characterize their conjugates and provide new domination/factorization theorems for these classes. As an application, it is also shown that certain known results on \((p,q)\)-concave operators from Banach lattices can be lifted to a class of \((q,p)\)-convex operators.


Banach lattice Positive \((p, q)\)-summing operators Pietsch-type theorem Strongly \((p, q)\)-summing operators Tensor norm 

Mathematics Subject Classification (2000)

46B42 46B45 46B28 47B10 



This work is a part of the doctoral thesis of A. Belacel. The authors wish to thank Professor E. A. Sánchez Pérez for his many useful suggestions concerning this paper.


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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Laboratoire d’Analyse Fonctionnelle et Géométrie des EspacesUniversity of M’silaM’silaAlgeria

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