Some properties of K-Operator Frame in Hilbert $C^{\ast}$-modules

Roumaissae Eljazzar; Mohamed Rossafi; Mohammed Klilou

doi:10.20956/j.v18i3.20459

Authors

Roumaissae Eljazzar
Mohamed Rossafi Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, Fes,
Mohammed Klilou

DOI:

https://doi.org/10.20956/j.v18i3.20459

Keywords:

$K$-Operator Frame, Dual $K$-operator frame, $C^{\ast}$-algebra, Hilbert $C^{\ast}$-modules, Tensor Product

Abstract

In this paper, we present some properties of K-operator Frame in Hilbert $C^{\ast}$-modules.
Topics that will be discussed include: K-operator Frame and Dual K-operator frame in Hilbert $C^{\ast}$-modules.
We will also study K-operator Frame in two Hilbert $C^{\ast}$-modules with different $C^{\ast}$-algebras.

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