陕西科技大学学报(自然科学版)2011,Vol.29Issue(6):144-148,5.
Hilbert空间Cd中框架的若干性质
SOME PROPERTIES OF FRAMES FOR THE HILBERT SPACE Cd
摘要
Abstract
Some important properties of frames for the Hilbert space Cd are discussed. Denote by Fd(A,B) the set of all frames for Cd with frame below bound A and upper bound B, denote by Md(A,B) the set of all d by d positive definite matrices C such that A≤ET(C) : = (C&,&)≤B for all unit vectors &€Cd. Some properties of Md(A,B) and Fd(A,B) are given, and relationships between them are obtained.关键词
Bessel列/框架/矩阵/期望Key words
Bessel sequence/ frame/ matrix/ expectation分类
数学引用本文复制引用
杨莹,曹怀信,李静,雷娟霞..Hilbert空间Cd中框架的若干性质[J].陕西科技大学学报(自然科学版),2011,29(6):144-148,5.基金项目
国家自然科学基金资助项目(No.10571113,10871224) (No.10571113,10871224)