Properties and Characterizations of Controlled K-g-Fusion Frames within Hilbert C∗-Modules

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DOI: https://doi.org/10.28924/2291-8639-23-2025-111
Published: May 8, 2025
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Sanae Touaiher, Roumaissae El Jazzar, Mohamed Rossafi, Properties and Characterizations of Controlled K-g-Fusion Frames within Hilbert C∗-Modules, Int. J. Anal. Appl., 23 (2025), 111.

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Sanae Touaiher, Roumaissae El Jazzar, Mohamed Rossafi

Abstract

This paper investigates several aspects of controlled K-g-fusion frames within the setting of Hilbert C∗- modules. We provide detailed characterizations of these frames, highlighting their structural properties and demonstrating how they adapt under transformations by various operators. A significant focus is placed on the relationship between the quotient operator and the controlled K-g-fusion frames, exploring their algebraic properties extensively. The results enrich the theoretical understanding of fusion frames.

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