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A factorization theorem in Banach lattices and its application to Lorentz spaces

Sholomo Reisner — 1981

Annales de l'institut Fourier

$p$ -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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