On nonlinear simultaneous approximation problems

被引：1

作者：

Pakhrou, Tijani ^{[1
]}

机构：

[1] Univ Alicante, Dept Math Anal, Fac Sci, E-03080 Alicante, Spain

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2011年 / 105卷 / 02期

关键词：

Simultaneous approximation; MU;

D O I：

10.1007/s13398-011-0039-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove that if Y is a reflexive subspace of a Banach space X, then L (a)(mu, Y) is simultaneously proximinal in L (a)(mu, X). Furthermore if X is reflexive and mu (0) is the restriction of mu to a sub-sigma-algebra, then L (a)(mu (0), X) is simultaneously proximinal in L (a)(mu, X).

引用

页码：305 / 313

页数：9

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