Integral $K$-Operator Frames for $End_{mathcal{A}}^{ast}(mathcal{H})$
Journal: Sahand Communications in Mathematical Analysis (Vol.18, No. 3)Publication Date: 2021-08-01
Authors : Hatim Labrigui; Samir Kabbaj;
Page : 91-107
Keywords : $K$-frames; integral $K$-operator frames; $C^{ast}$-algebra; Hilbert $mathcal{A}$-module;
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.
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