Research Article
Controlled g-frames and dual g-frames in Hilbert spaces
https://doi.org/10.21203/rs.3.rs-1619559/v1
This work is licensed under a CC BY 4.0 License
published 02 May, 2023
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This paper addresses controlled g-frames which are extensions of g-frames and controlled frames. Firstly, we discuss the characterization of controlled g-frames, obtain some equivalent conditions of them. Then, we introduce the concept of controlled dual g-frames and controlled dual g-frames operator, get some properties of them. Finally, we characterize all controlled dual g-frames of a controlled generalized frame.
2010 MS Classification: 42C15, 42A38
g-frame
controlled g-frame
controlled dual g-frame
No competing interests reported.
published 02 May, 2023
Read the published version in Journal of Inequalities and Applications →
Editorial decision: Major revision
26 Jan, 2023
Reviews received at journal
27 Oct, 2022
Reviewers agreed at journal
08 Oct, 2022
Reviewers invited by journal
06 Oct, 2022
Editor assigned by journal
07 May, 2022
Submission checks completed at journal
04 May, 2022
First submitted to journal
03 May, 2022
You are reading this latest preprint version