Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
محورهای موضوعی : Functional analysis
1 - Department of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco
2 - Department of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco
کلید واژه: Frame, operator frame, $C^{ast}$-algebra, Hilbert $mathcal{A}$-modules,
چکیده مقاله :
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.
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