Continuous $K$-$g$-fusion frames in Hilbert $C^*$-modules

Fakhr-dine Nhari; Choonkil Park; Mohamed Rossafi

doi:10.20956/j.v19i2.23961

Authors

Fakhr-dine Nhari
Choonkil Park
Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,

DOI:

https://doi.org/10.20956/j.v19i2.23961

Keywords:

Continuous fusion frame, Continuous $g$-fusion frame, Continuous $K$-$g$-fusion frame, $C^{\ast}$-algebra, Hilbert $C^{\ast}$-module

Abstract

In this paper, we introduce the concept of continuous $g$-fusion frame and $K$-$g$-fusion frame in Hilbert $C^{\ast}$-modules. Furthermore, we investigate some properties of them and discuss the perturbation problem for continuous $K$-$g$-fusion frames.

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