G-Frames and g-Frame Sequences in Hilbert Spaces

查看全文 作　　者：Yan Jin WANG Yu Can ZHU~(1))Department of Mathematics,Fuzhou University,Fuzhou 350002,P. R. China

出　　处：《Acta Mathematica Sinica,English Series》索引2009年第25卷第12期,共14页

基　　金：supported by Natural Science Foundation of Fujian Province of China (No.2009J01007);Education Commission Foundation of Fujian Province of China (No.JA08013) 摘　　要：In this paper, we first determine the relations among the best bounds A and B of theg-frame, the g-frame operator S and the pre-frame operator Q and give a necessary and sufficientcondition for a g-frame with bounds A and B in a complex Hilbert space. We also introduce thedefinition of a g-frame sequence and obtain a necessary and sufficient condition for a g-frame sequencewith bounds A and B in a complex Hilbert space. Lastly, we consider the stability of a g-frame sequencefor a complex Hilbert space under perturbation. 关键词：希尔伯特空间空间框架序列充分必要条件帧集团运营商关系式

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G-Frames and g-Frame Sequences in Hilbert Spaces

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