Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules

The relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames and relay fusion frames in Hilbert spaces to...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2023, Vol.2023, p.1-20
Main Authors: Chi, Xiujiao, Hong, Guoqing, Li, Pengtong
Format: Article
Language:English
Subjects:
Algebra
Codes
Frames
Hilbert space
Mathematics
Modules
Perturbation
Relay
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Summary:The relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames and relay fusion frames in Hilbert spaces to relay fusion frames in Hilbert C∗-modules. In addition, we generalize some perturbation results in frame theory to relay fusion frames in Hilbert C∗-modules. Finally, we introduce a class of F,G-relay fusion frames as a generalization of K-frames and present some perturbation results for F,G-relay fusion frames in Hilbert C∗-modules.
ISSN:2314-4629
2314-4785
DOI:10.1155/2023/5920210