摘要
里斯对偶的概念首先由Casazza等人提出,此后成为了框架理论的一个研究热点.本文主要利用算子的谱给出两个序列能成为里斯对偶的充要条件.由于应用的广泛性,我们主要关注有限维希尔伯特空间中的框架.
The concept of R-dual has triggered a lot of research activities since it is first introduced by Casazza et al.In this paper,we mainly use operator spectrum to give conditions under which two sequences form an R-dual.Particularly,we focus on frames in the finite dimensional Hilbert space because of its wide range of applications.
作者
庄智涛
ZHUANG Zhitao(College of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou,Henan,450046,P.R.China)
出处
《数学进展》
CSCD
北大核心
2020年第5期617-625,共9页
Advances in Mathematics（China）
基金
Supported by NSFC (No.11601152)。
关键词
里斯对偶
框架
谱
R-dual
frame
spectrum
