| Generalized Frames and Frame Operators |
| Received:January 16, 2002 |
| Key Words:
Hilbert space generalized frame frame operator
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| Fund Project:Supported by National Natural Science Foundation of China (19971056) |
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| Abstract: |
| In this paper, we introduce and study the generalized frame in a separable Hilbert space H. Using operator-theoretic-methods, we give some conditions for a gen- eralized frame to be a tight frame, a dual frame, or an independent frame in H. We also prove some results concerning generalized frame operators. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2004.02.003 |
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