Abstract | ||
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In this paper, we develop the basic stability theory for g-frames and g-Riesz bases in Hilbert C*-module. Also, we study stability of the dual g-frames in Hilbert C*-module. We extend the Casazza-Christensen perturbation theorem to g-frames in Hilbert C*-module but this is not valid for g-Riesz bases. We prove some characterizations of g-frames and g-Riesz bases in Hilbert C*-module. |
Year | DOI | Venue |
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2014 | 10.1142/S0219691314500362 | INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING |
Keywords | DocType | Volume |
g-Frame, g-Riesz basis, perturbation theorem, Hilbert C*-module | Journal | 12 |
Issue | ISSN | Citations |
6 | 0219-6913 | 3 |
PageRank | References | Authors |
0.83 | 2 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mehdi Rashidi-Kouchi | 1 | 3 | 1.17 |
Akbar Nazari | 2 | 6 | 1.26 |
Massoud Amini | 3 | 13 | 2.84 |