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

Xiujiao Chi, Guoqing Hong, Pengtong Li and Ngai-Ching Wong

Journal of Mathematics, 2023, vol. 2023, 1-20

Abstract: 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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5920210

DOI: 10.1155/2023/5920210

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