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On the Best Approximation Operator in Orlicz Spaces with Orlicz Norm

LU Yan-ming, TENG Yan-mei, WANG Ting-fu (Heihe Normal College, Heihe 164300, China Harbin Univ. Sci. Tech., Harbin 150080, China)  
In Orlicz spaces with Orlicz norm, a sufficient condition for the monotone property of best approximation operator is given. Moreover the existence theorem of best apgproximants is obtained.
【CateGory Index】: O177.3
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