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

Authors: P. GOMEZ PALACİO, J. A. LOPEZ MOLINA, M. J. RIVERA

Abstract: We study the lattice finite representability of the Bochner space L_p(\mu_1,L_q(\mu_2)) in \ell_p{\ell_q}, 1 \le p,q < \infty, and then we characterize the ideal of the operators which factor through a lattice homomorphism between L_{\infty}(\mu) and L_p(\mu_1,L_q(\mu_2)).

Keywords: Integral operators, Ultraproducts of spaces and maps.

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