Controlled g-frames and their dual in Hilbert $C^{\ast}-$modules


  • Abdelilah Karara
  • Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
  • Samir Kabbaj



g-frame, controlled g-frame, $C^{\ast}$-algebras, Hilbert $C^{\ast}$-modules


In this paper we give some new results for controlled g-frames and controlled dual g-frames in Hilbert $C^*$-modules. First, we talk about controlled g-frame characterisation and find certain conditions that are equal to them.Then, we explain the purpose controlled dual g-frames and controlled dual g-frames operator and discuss some of their characteristics.


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How to Cite

Karara, A., Rossafi, M., & Kabbaj, S. (2023). Controlled g-frames and their dual in Hilbert $C^{\ast}-$modules. Jurnal Matematika, Statistika Dan Komputasi, 20(1), 10-23.



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