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《Journal of Changsha University of Electric Power(Natural Science)》 1997-01
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Best Approximations and Norm—preserving Extension

Luo Xianfa (JishouUniv.Jishou 416000)Liu jinbo (Hunan Light Ind.Coll.Changsha 410007)  
We obtain the characterization for the closed subspace of finite codimension of any real normed linear space to be k—semi—Chebyshev,therefore,the characterization for the weekly closed subspace of finite codimension to be k—Chebychev.We also obtain more simple results by using the latter result in C_0 and L_1.
【CateGory Index】: O177.3
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