Fusion frames and G-frames in Banach spaces

被引:0
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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
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关键词
Fusion frames; ; -frames; Banach ; -frames; perturbation.;
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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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