Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$

Journal of Linear and Topological Algebra

مقاله 1، دوره 08، شماره 02، شهریور 2019، صفحه 85-95   

نوع مقاله: Research Paper

نویسندگان

M. Rossafi^* ؛ S. Kabbaj

Department of Mathematics‎, ‎University of Ibn Tofail‎, ‎B.P‎. ‎133‎, ‎Kenitra‎, ‎Morocco

چکیده

‎Frames generalize orthonormal bases and allow representation of all the elements of the space‎. ‎Frames play significant role in signal and image processing‎, ‎which leads to many applications in informatics‎, ‎engineering‎, ‎medicine‎, ‎and probability‎. ‎In this paper‎, ‎we introduce the concepts of operator frame for the space $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ of all adjointable operators on a Hilbert $\mathcal{A}$-module $\mathcal{H}$ and establish some results‎.

کلیدواژه‌ها

Frame؛ operator frame؛ $C^{ast}$-algebra؛ Hilbert $mathcal{A}$-modules

مراجع

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