Let be a probability space and a sub--lattice of the -algebra . We study an extension of the best -approximation operator from an Orlicz space to the space , where denotes the derivative of the convex, but not necessarily a strictly convex function . We obtain convergence results when a sequence of -algebras converges to in a suitable way.
"Extension of The Best Approximation Operator in Orlicz Spaces." Abstr. Appl. Anal. 2008 1 - 15, 2008. https://doi.org/10.1155/2008/374742