Stability of g-frames |
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Authors: | Wenchang Sun |
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Affiliation: | Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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Abstract: | g-Frames are natural generalizations of frames which cover many other recent generalizations of frames, e.g., bounded quasi-projectors, frames of subspaces, outer frames, oblique frames, pseudo-frames and a class of time-frequency localization operators. Moreover, it is known that g-frames are equivalent to stable space splittings. In this paper, we study the stability of g-frames. We first present some properties for g-Bessel sequences. Then we prove that g-frames are stable under small perturbations. We also study the stability of dual g-frames. |
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Keywords: | g-Frames Generalized frames Stability |
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