Hilbert空间中K-fusion框架的稳定性  

Stability of the K-fusion fame in Hilbert space

作　　者：侯美琴[1] 姚喜妍[2] HOU Meiqin;YAO Xiyan(College of Mathematics and Computer Science,Shanxi Normal University,Linfen 041000,Shanxi,China;Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,Shanxi,China)

机构地区：[1]山西师范大学数学与计算机科学学院,山西临汾041000 [2]运城学院应用数学系,山西运城044000

出　　处：《纺织高校基础科学学报》2018年第2期180-185,共6页Basic Sciences Journal of Textile Universities

基　　金：山西省自然科学基金(20130111003-1);山西省高校重点学科建设专项资金项目(20131010)

摘　　要：给出Hilbert空间中K-fusion框架概念和一些相关的性质,应用算子论的方法讨论Hilbert空间中K-fusion框架在算子扰动或序列扰动下的稳定性,并得出K-fusion框架稳定性的一些等价条件,进一步将已有文献中fusion框架稳定性的结果推广到K-fusion框架上.The concept of K-fusion frame and its some related properties in Hilbert spaces are given.By using the operator theoretic methods,the stability of the K-fusion frame of Hilbert spaces in operator disturbance or sequence perturbation is discussed,and some equivalence conditions of the stability of the K-fusion frame are obtained.The results of the stability of the fusion frame in the existing literatures is furthr extended to the K-fusion frame in Hilbert spaces.

关 键 词：算子 HILBERT空间 K-fusion框架 fusion框架 

分 类 号：O177.1[理学—数学]