A factorization theorem in Banach lattices and its application to Lorentz spaces
Annales de l'Institut Fourier, Tome 31 (1981) no. 1, pp. 239-255.

On caractérise la p-convexité et la q-concavité d’un treillis de Banach L à l’aide de la factorisation des opérateurs de multiplication de L q dans L p à travers l’espace L. Cette caractérisation est utilisée pour calculer le type de concavité des espace de Lorentz.

p-convexity and q-concavity of a Banach lattice L are characterized by factorization of multiplication operators from L q into L p through L. This characterization is applied to calculate the concavity type of Lorentz spaces.

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     title = {A factorization theorem in {Banach} lattices and its application to {Lorentz} spaces},
     journal = {Annales de l'Institut Fourier},
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Reisner, Sholomo. A factorization theorem in Banach lattices and its application to Lorentz spaces. Annales de l'Institut Fourier, Tome 31 (1981) no. 1, pp. 239-255. doi : 10.5802/aif.825. http://www.numdam.org/articles/10.5802/aif.825/

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