TIGHT PROJECTIONS OF FRAMES ON INFINITE DIMENSIONAL HILBERT SPACES

被引：0

作者：

Jasper, John ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

OPERATORS AND MATRICES | 2014年 / 8卷 / 04期

基金：

美国国家科学基金会;

关键词：

Frames; projections of frames; compressions;

D O I：

10.7153/oam-08-58

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the frames on an infinite dimensional separable Hilbert space that can be projected to a tight frame for an infinite dimensional subspace. A result of Casazza and Leon states that an arbitrary frame for a 2N - or (2N-1)-dimensional Hilbert space can be projected to a tight frame for an N-dimensional subspace. Surprisingly, we demonstrate a large class of frames for infinite dimensional Hilbert spaces which cannot be projected to a tight frame for any infinite dimensional subspace.

引用

页码：1053 / 1063

页数：11