Some relations between entropy and approximation numbers

被引：0

作者：

郑志明

机构：

来源：

Science China Mathematics | 1999年 / 05期

基金：

中国国家自然科学基金;

关键词：

compact and noncompact linear maps; entropy numbers; approximation numbers;

D O I：

暂无

中图分类号：

O177.1 [希尔伯特空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

A general result is obtained which relates the entropy numbers of compact maps on Hilbert space to its approximation numbers. Compared with previous works in this area, it is particularly convenient for dealing with the cases where the approximation numbers decay rapidly. A nice estimation between entropy and approximation numbers for noncompact maps is given.

引用

页码：478 / 487

页数：10