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Some identities and inequalities for g-fusion frames
R. Zarghami Farfara, V. Sadrib, R. Ahmadia a University of Tabriz, Iran
b Department of Mathematics, Faculty of Tabriz Branch,
Technical and Vocational University (TVU), East Azarbaijan, Iran
Abstract:
G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for g-frames, which was given by Najati for a special case. Also, by using the idea of this identity and the dual frames, some equalities and inequalities are presented for g-fusion frames.
Keywords:
g-frame, dual g-frame, g-fusion frame, dual g-fusion frame.
Received: 27.05.2019 Revised: 29.11.2019 Accepted: 11.02.2020
Citation:
R. Zarghami Farfar, V. Sadri, R. Ahmadi, “Some identities and inequalities for g-fusion frames”, Probl. Anal. Issues Anal., 9(27):2 (2020), 152–162
Linking options:
https://www.mathnet.ru/eng/pa302 https://www.mathnet.ru/eng/pa/v27/i2/p152
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Abstract page: | 98 | Full-text PDF : | 82 | References: | 19 |
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