Finite extensions of generalized Bessel sequences to generalized frames |
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| Authors: | Dengfeng LI Yanting LI |
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| Affiliation: | School of Mathematics and Computer, Wuhan Textile University, Wuhan 430200, China;Department of Mathematics, Faculty of Science and Technology, University of Macau, Macau, China |
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| Abstract: | The objective of this paper is to investigate the question of modifying a given generalized Bessel sequence to yield a generalized frame or a tight generalized frame by finite extension. Some necessary and sufficient conditions for the finite extensions of generalized Bessel sequences to generalized frames or tight generalized frames are provided, and every result is illustrated by the corresponding example. |
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| Keywords: | frame generalized frame generalized Bessel sequence 42C15 42C40 |
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