Perturbations of Frames  

作　　者：Dong Yang CHEN Lei Li Ben Tuo ZHENG 

机构地区：[1]School of Mathematical Sciences,Xiamen University [2]School of Mathematical Sciences and LPMC,Nankai University [3]Department of Mathematics,University of Memphis,Memphis,TN 38152-3240,USA

出　　处：《Acta Mathematica Sinica,English Series》2014年第7期1089-1108,共20页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.10701063 and11001231);the Fundamental Research Funds for the Central Universities(Grant No.2011121039);supported by National Natural Science Foundation of China(Grant Nos.11301285 and 11371201);supported by NSF(Grant No.DMS-1200370)

摘　　要：In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.

关 键 词：Hilbert frames near-Riesz basis Schauder frames PERTURBATION 

分 类 号：O177.1[理学—数学]