Fusion frames and G-frames in Banach spaces

被引：0
|
作者：
AMIR KHOSRAVI
BEHROOZ KHOSRAVI
机构：
[1] Tarbiat Moallem University,Faculty of Mathematical Sciences and Computer
[2] Amirkabir University of Technology (Tehran Polytechnic),Department of Pure Mathematics, Faculty of Mathematics and Computer Science
来源：
Proceedings - Mathematical Sciences | 2011年 / 121卷
关键词：
Fusion frames; ; -frames; Banach ; -frames; perturbation.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Fusion frames and g-frames in Hilbert spaces are generalizations of frames, and frames were extended to Banach spaces. In this article we introduce fusion frames, g-frames, Banach g-frames in Banach spaces and we show that they share many useful properties with their corresponding notions in Hilbert spaces. We also show that g-frames, fusion frames and Banach g-frames are stable under small perturbations and invertible operators.
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页码：155 / 164
页数：9
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