A factorization theorem in Banach lattices and its application to Lorentz spaces
Reisner, Sholomo
Annales de l'Institut Fourier, Tome 31 (1981), p. 239-255 / Harvested from Numdam
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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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     author = {Reisner, Sholomo},
     title = {A factorization theorem in Banach lattices and its application to Lorentz spaces},
     journal = {Annales de l'Institut Fourier},
     volume = {31},
     year = {1981},
     pages = {239-255},
     doi = {10.5802/aif.825},
     mrnumber = {82g:46066},
     zbl = {0437.46025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1981__31_1_239_0}
}

Reisner, Sholomo. A factorization theorem in Banach lattices and its application to Lorentz spaces. Annales de l'Institut Fourier, Tome 31 (1981) pp. 239-255. doi : 10.5802/aif.825. http://gdmltest.u-ga.fr/item/AIF_1981__31_1_239_0/

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