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Extension of The Best Approximation Operator in Orlicz Spaces

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  • Ivana Carrizo
  • Sergio Favier
  • Felipe Zó

Abstract

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.

Suggested Citation

  • Ivana Carrizo & Sergio Favier & Felipe Zó, 2008. "Extension of The Best Approximation Operator in Orlicz Spaces," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-15, March.
    • Handle: RePEc:hin:jnlaaa:374742
    DOI: 10.1155/2008/374742
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