| Perturbations of $G$-Frames in Hilbert Spaces |
| Received:June 15, 2006 Revised:March 23, 2007 |
| Key Words:
frames $g$-frames $g$-frame operators perturbations.
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| Fund Project:the Scientific Research Foundation for University of Shanxi Province (No.2007150); the Science Foundation of Yuncheng University (No.20060103). |
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| Abstract: |
| In this paper, we discuss the properties of $g$-frames and $g$-frame operators for Hilbert spaces by utilizing the method of operator theory. Furthermore, we study perturbations of $g$-frames, and obtain some meaningful results. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.04.041 |
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