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arXiv · 1807.03836

Perturbation and stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$

Mohamed Rossafi·Abdellatif Akhlidj
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Abstract

Frame theory is recently an active research area in mathematics, computer science, and engineering with many exciting applications in a variety of different fields. In this paper, we firstly give a characterization of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$. Lastly we consider the stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ under perturbation and we establish some results.

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Mohamed Rossafi, Abdellatif Akhlidj. 2018-07-01. Perturbation and stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$. https://arxiv.org/abs/1807.03836

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