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Integral $K$-Operator Frames for $End_{mathcal{A}}^{ast}(mathcal{H})$

Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 3)

Publication Date:

Authors : ; ;

Page : 91-107

Keywords : $K$-frames; integral $K$-operator frames; $C^{ast}$-algebra; Hilbert $mathcal{A}$-module;

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Abstract

In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from a Hilbert $C^{ast}$-module $mathcal{H}$ to  itself denoted by $End_{mathcal{A}}^{ast}(mathcal{H}) $.  We give some properties relating to some constructions of integral $K$-operator frames and to operators preserving  integral $K$-operator frame and we establish some new results.

Last modified: 2022-07-31 17:27:47