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Controlled g-frames and dual g-frames in Hilbert spaces
oleh: Hui-Min Liu, Yan-Ling Fu, Yu Tian
Format: | Article |
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Diterbitkan: | SpringerOpen 2023-05-01 |
Deskripsi
Abstract As generalizations of g-frames and controlled frames, the theory of controlled g-frames has been deeply studied. This paper addresses the controlled g-frames and dual g-frames in Hilbert spaces. We first present some equivalent characterizations of controlled g-frames. Then, we introduce the concepts of controlled dual g-frames and controlled dual g-frames operator, get some properties of them. Finally, we obtain some characterizations of the controlled dual g-frames for a given controlled g-frame by the method of operator theory.