The aim of this work is to contribute to the theory of $$(p,q)$$ ( p , q ) -summing operators. We focus on positive $$(p,q)$$ ( 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 $$(p,q)$$ ( p , q ) -concave operators from Banach lattices can be lifted to a class of $$(q,p)$$ ( q , p ) -convex operators.
Positivity – Springer Journals
Published: Jan 28, 2014
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