Integral $K$-Operator Frames for $En{d}_{\mathcal{A}}^{\ast }(\mathcal{H})$

Abstract

In this work, we introduce a new concept of integral $K$-operator frame for the set of all adjointable operators from Hilbert $C^{\ast }$-modules $\mathcal{H}$ to it self noted $En{d}_{\mathcal{A}}^{\ast }(\mathcal{H})$. We give some propertis relating some construction of integral $K$-operator frame and operators preserving integral $K$-operator frame and we establish some new results.