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On the Finite-dimensional Optimal Approximations to the Infinite dimensional Linear Operators
被引：0
作者：
张秀玲
机构：
来源：
关键词：
Hilbert space;
linear operator;
optimal approximation;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
A method of approaching to the infinite dimensional linear operators by the finite dimensional operators is discussed. It is shown that,for every infinite dimensional operator A and every natural number n, there exists an n dimensional optimal approximation to A. The norm error is found and the necessary and sufficient condition for such n dimensional optimal approximations to be unique is obtained.
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页码：96 / 102
页数：7
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