Examinando por Materia "Ultraproducts of spaces and maps"

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    Characterization of the maximal ideal of operators associated to the tensor norm defined by an Orlicz function
    (HELDERMANN VERLAG, 2001-01-01) Loaiza, G; Molina, JAL; Rivera, MJ; Loaiza, G; Molina, JAL; Rivera, MJ; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    Given an Orlicz function H satisfying the 2 property at zero, one can use the Orlicz sequence space lH to define a tensor norm gHc and the minimal (Hc-nuclear) and maximal (Hc-integral) operator ideals associated to gHc in the sense of Defant and Floret. The aim of this paper is to characterize Hc-integral operators by a factorization theorem. © Heldermann Verlag.
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    Some applications of the lattice finite representability in spaces of measurable functions
    (Scientific and Technical research Council of Turkey - TUBITAK/Turkiye Bilimsel ve Teknik Arastirma Kurumu, 2001-01-01) Gómez Palacio, P.; López Molina, J.A.; Rivera, M.J.; Gómez Palacio, P.; López Molina, J.A.; Rivera, M.J.; Universidad EAFIT. Departamento de Ciencias; Matemáticas y Aplicaciones
    We study the lattice finite representability of the Bochner space L p(P1, Lq(P2)) in lp{lq}, 1 = p, q < 8, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L8(µ) and Lp(µ) and Lp(µ1, Lq(µ2)). © Tübitak.