Journals / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 4

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

Pages
475–490
DOI
—

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)).

Özet

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.