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2008 Extension of The Best Approximation Operator in Orlicz Spaces
Ivana Carrizo, Sergio Favier, Felipe Zó
Abstr. Appl. Anal. 2008: 1-15 (2008). DOI: 10.1155/2008/374742


Let ( Ω , 𝒜 , μ ) be a probability space and 𝒜 a sub- σ -lattice of the σ -algebra 𝒜 . We study an extension of the best ϕ -approximation operator from an Orlicz space L ϕ to the space L ϕ , 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 n converges to in a suitable way.


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Ivana Carrizo. Sergio Favier. Felipe Zó. "Extension of The Best Approximation Operator in Orlicz Spaces." Abstr. Appl. Anal. 2008 1 - 15, 2008.


Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1160.41308
MathSciNet: MR2393120
Digital Object Identifier: 10.1155/2008/374742

Rights: Copyright © 2008 Hindawi

Vol.2008 • 2008
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