Hilbert空间中连续框架扰动的新结果  

New perturbation result on continuous frames in Hilbert space

作　　者：相中启[1] 简辉华[2] 

机构地区：[1]华中师范大学数学与统计学学院,武汉430079 [2]新余学院电气与电子工程学院,江西新余338004

出　　处：《兰州大学学报（自然科学版）》2013年第3期405-408,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(10771082)

摘　　要：研究了Hilbert空间中连续框架的扰动性.运用算子理论方法,给出了连续框架扰动的新结果,所得结果包含一些已知的扰动结果,展示了新结果在研究连续框架扰动性理论中的重要作用.The perturbation of continuous frames was studied and one new result of continuous frames perturbation in Hilbert spaces was obtained by utilizing the method of operator theory,and it showed that many known results are its corollaries,indicating the important role of this new result in perturbation theory of continuous frames.

关 键 词：连续框架 扰动 HILBERT空间 

分 类 号：O174.2[理学—数学]