Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
الموضوعات :
M. Rossafi
1
(Department of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco)
S. Kabbaj
2
(Department of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco)
الکلمات المفتاحية: Frame, operator frame, $C^{ast}$-algebra, Hilbert $mathcal{A}$-modules,
ملخص المقالة :
‎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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