Weaving Continuous Controlled K-G-Fusion Frames in Hilbert C∗-Modules

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In this work, we introduce the framework of weaving continuous controlled K-g-fusion frames in Hilbert C∗-modules and provide several characterizations of this notion. Furthermore, we generalize some recent results on woven K-g-fusion frames and controlled K-g-fusion frames to the continuous controlled case. In addition, we establish a perturbation result for woven continuous controlled K-g-fusion frames. These advancements not only enhance our understanding of fusion frames but also open up new avenues for research in operator theory and signal processing. By exploring these concepts further, we hope to uncover additional properties and applications that could significantly impact the field.

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