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

Touaiher, Sanae; El Jazzar, Roumaissae; Rossafi, Mohamed

doi:10.28924/2291-8639-23-2025-111

Research Article

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

Sanae Touaiher*
Roumaissae El Jazzar
Mohamed Rossafi

* Corresponding author

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.

How to Cite

S. Touaiher, R. El Jazzar, M. Rossafi, Properties and Characterizations of Controlled K-g-Fusion Frames within Hilbert C∗-Modules, Int. J. Anal. Appl. 23 (2025), 111. https://doi.org/10.28924/2291-8639-23-2025-111

BibTeX

@article{Touaiher2025,
  author  = {Touaiher, Sanae and El Jazzar, Roumaissae and Rossafi, Mohamed},
  title   = {Properties and Characterizations of Controlled K-g-Fusion Frames within Hilbert C∗-Modules},
  journal = {Int. J. Anal. Appl.},
  volume  = {23},
  year    = {2025},
  pages   = {111},
  doi     = {10.28924/2291-8639-23-2025-111}
}

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