Some Applications of the Lattice Finite Representability in Spaces of Measurable Functions

Authors : P. Gómez Palacio

Pages : 475-490

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :We study the lattice finite representability of the Bochner space Lp(m1,Lq(m2)) in \ellp{\ellq}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L\infty(m) and Lp(m1,Lq(m2)).
Keywords : Integral operators, Ultraproducts of spaces and maps.