Equivalence relations and distances between Hilbert frames

被引：60

作者：

Balan, R ^{[1
]}

机构：

[1] Princeton Univ, Program Appl & Computat Math, Princeton, NJ 08544 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 08期

关键词：

closeness bound; nearness; quadratic distance between frames;

D O I：

10.1090/S0002-9939-99-04826-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study some equivalency relations between Hilbert frames and closed subspaces of l(2)(I). We define also a distance between frames and we establish the geometric meaning of this metric. Finally we find the closest and respectively the nearest tight frame to a given frame.

引用

页码：2353 / 2366

页数：14

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