Domination and factorization theorems for positive strongly $$p$$ p -summing operators

Domination and factorization theorems for positive strongly $$p$$ p -summing operators 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Domination and factorization theorems for positive strongly $$p$$ p -summing operators

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Publisher
Springer Basel
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0276-6
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

PositivitySpringer Journals

Published: Jan 28, 2014

References

  • Strongly embedded subspaces of $$p$$ p -convex Banach function spaces
    Calabuig, J; Rodríguez, J; Sánchez Pérez, EA

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