Extension of The Best Approximation Operator in Orlicz Spaces

Carrizo, Ivana; Favier, Sergio; Zó, Felipe
January 2008
Abstract & Applied Analysis;2008, p1
Academic Journal
Let (Ω,A, μ) be a probability space and L ? A a sub-σ-lattice of the σ-algebra A. We study an extension of the best ϕ-approximation operator from an Orlicz space Lϕ to the space Lϕ' , where ϕ' denotes the derivative of the convex, but not necessarily a strictly convex function ϕ. We obtain convergence results when a sequence of σ-algebras Bn converges to B∞ in a suitable way.


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