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《Acta Analysis Functionalis Applicata》 2013-01
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On the Problem of Distance From a Point to the Subspace of Finite Codimension in Real Banach Space

HUANG Shixiang,LIANG Xiaobin Dept of Math,Shangrao Normal College,Shangrao 334000,China  
In this paper,assuming X is Banach and L is a finite codimension subspace of X. Application of the dual method,there obtain the formula of distance and elements of best approximation from given a point to the subspace of finite codimension under some condition,and apply the formula to solve some of the specific optimal control problem.
【Fund】: 江西省自然科学基金(2010GZC0186);; 江西省教育厅科技项目(GJJ12607)
【CateGory Index】: O177.2
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