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

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  • Xiujiao Chi
  • Guoqing Hong
  • Pengtong Li
  • Ngai-Ching Wong

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.

Suggested Citation

  • Xiujiao Chi & Guoqing Hong & Pengtong Li & Ngai-Ching Wong, 2023. "Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules," Journal of Mathematics, Hindawi, vol. 2023, pages 1-20, June.
    • Handle: RePEc:hin:jjmath:5920210
    DOI: 10.1155/2023/5920210
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