Compactness properties of bounded subsets of spaces of vector measure integrable functions and factorization of operators

Lluís Garcia-Raffi, E.A. Sánchez-Pérez

Abstract

Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach lattices. We generalize in this way several classical factorization results for operators between these spaces, as psumming operators.


Keywords

Compactness; Vector measures; Integration; Factorization

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References

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1. Spaces of integrable functions with respect to a vector measure and factorizations through Lp and Hilbert spaces
A. Fernández, F. Mayoral, F. Naranjo, C. Sáez, E.A. Sánchez-Pérez
Journal of Mathematical Analysis and Applications  vol: 330  issue: 2  first page: 1249  year: 2007  
doi: 10.1016/j.jmaa.2006.07.107



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Universitat Politècnica de València

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