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g-Banach框架的稳定性研究(英文)
引用本文:王刚. g-Banach框架的稳定性研究(英文)[J]. 数学进展, 2011, 0(4)
作者姓名:王刚
作者单位:新疆师范大学数理信息学院;
基金项目:supported by Development Program for Young Teacher in the Science Research Project for Colleges and Universities of Xinjiang Province of China(No.XJEDU2009S67)
摘    要:Abdollahpour引入了g-Banach框架的概念,本文研究了g-Banach框架的扰动和稳定性,得到了关于g-Banach框架的一些稳定性条件,Abdollahpour文献中有关稳定性结果是本文结果的特例.

关 键 词:g-框架  g-Banach框架  稳定性  

A Study on the Stability of g-Banach Frames
WANG Gang. A Study on the Stability of g-Banach Frames[J]. Advances in Mathematics(China), 2011, 0(4)
Authors:WANG Gang
Affiliation:WANG Gang (Faculty of Math-physics and Information Science,Xinjiang Normal University,Urumqi,Xinjiang,830054,P.R.China)
Abstract:Abdollahpour introduced the concept of g-Banach frames.In this paper,we study the stability of g-Banach frames under perturbations.Some conditions on the stability of g-Banach frames are obtained,in particular,the stability results by Abdollahpour are the special case of ours.
Keywords:g-frame  g-Banach frame  stability  
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