Stability of (p,Y)-Operator Frames

被引：0
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作者：
Zhi Hua GUO Huai Xin CAO Jun Cheng YIN College of Mathematics and Information ScienceShaanxi Normal UniversityShaanxi PRChinaCollege of ScienceChina Jiliang UniversityZhejiang PRChina [1 ,1 ,1 ,2 ,1 ,710062 ,2 ,310018 ]
机构：
来源：
数学研究与评论 | 2011年 / 31卷 / 03期
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中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
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摘要：
In this paper we study the stability of(p,Y)-operator frames.We firstly discuss the relations between p-Bessel sequences(or p-frames) and(p,Y)-operator Bessel sequences(or(p,Y)-operator frames).Through defining a new union,we prove that adding some elements to a given(p,Y)-operator frame,the resulted sequence will be still a(p,Y)-operator frame.We obtain a necessary and sufficient condition for a sequence of compound operators to be a(p,Y)operator frame.Lastly,we show that(p,Y)-operator frames for X are stable under some small perturbations.
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页码：535 / 544
页数：10
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