K-框架的算子迭代表示  

Representations of K-frames via operator iteration

作　　者：林焕程 朱玉灿[1] LIN Huancheng;ZHU Yucan(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China)

机构地区：[1]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2020年第2期140-145,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：福建省自然科学基金资助项目(2016J01014)。

摘　　要：利用线性无关的Bessel序列定义一个迭代算子,并用该算子迭代表示一个K-框架.得出一个算子迭代表示的K-框架所应该具备的条件,讨论K-Riesz基有关算子迭代表示的问题,并在具有有界算子迭代表示的前提下,给出K-框架成为K-Riesz基的等价条件.This paper defines an iterative operator which can represent a K-frame by a linearly independent Bessel sequence.Then we present a necessary condition of a K-frame represented by operator iteration,We also discuss the problem about the K-Riesz basis in the same situation.Finally,we prove an equivalent condition for a K-frame represented by bounded operator iteration to be a K-Riesz basis.

关 键 词：框架 K-框架 算子迭代 BESSEL序列 HILBERT空间 

分 类 号：O177.1[理学—数学]