Geodesic
Domination and Factorization of Multilinear Operators
Journal of convex analysis, Tome 20 (2013) no. 4, pp. 999-1012

Voir la notice de l'article provenant de la source Heldermann Verlag

We study multilinear operators from quasi-Banach lattices to quasi-Banach spaces. We prove that certain vector valued norm inequalities for these operators are equivalent to domination theorems. As an application we show that under some mild assumptions these domination theorems can be expressed in terms of factorization through Orlicz spaces. In the case of the multilinear functionals on C(K)-spaces we recover a multilinear variant of the Grothendieck factorization theorem.
Classification : 46E30, 47B38, 46B42
Mots-clés : Factorization, Banach function lattice, Banach envelope, Orlicz space 
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     author = {M. Mastylo and E. A. S\'anchez P\'erez},
     title = {Domination and {Factorization} of {Multilinear} {Operators}},
     journal = {Journal of convex analysis},
     pages = {999--1012},
     publisher = {mathdoc},
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     number = {4},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a6/}
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M. Mastylo; E. A. Sánchez Pérez. Domination and Factorization of Multilinear Operators. Journal of convex analysis, Tome 20 (2013) no. 4, pp. 999-1012. http://geodesic.mathdoc.fr/item/JCA_2013_20_4_JCA_2013_20_4_a6/