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arxiv: 1807.03836 · v2 · pith:22UZVIVKnew · submitted 2018-07-01 · 🧮 math.FA

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

classification 🧮 math.FA
keywords mathcaloperatorframeframesperturbationstabilityactiveapplications
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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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