Fusion frames and G-frames in Banach spaces |
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| Authors: | AMIR KHOSRAVI BEHROOZ KHOSRAVI |
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| Affiliation: | 1.Faculty of Mathematical Sciences and Computer,Tarbiat Moallem University,Tehran,Iran;2.Department of Pure Mathematics, Faculty of Mathematics and Computer Science,Amirkabir University of Technology (Tehran Polytechnic),Tehran,Iran |
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| Abstract: | 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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