Integral $K$-Operator Frames for $\mathcal{B}(H)$

TL;DR

This paper introduces the concept of integral $K$-operator frames in the space of bounded linear operators on a Hilbert space, establishing foundational properties, stability, and perturbation results.

Contribution

It proposes a new notion of integral $K$-operator frames in $cal(H)$ and proves initial properties and stability results for these frames.

Findings

Established basic properties of integral $K$-operator frames.

Proved stability and perturbation results for these frames.

Extended the theory of operator frames with a new integral $K$-operator frame concept.

Abstract

In this paper, we will introduce a new notion, that of $K$-Integral operator frames in the set of all bounded linear operators noted $\mathcal{B}(H)$, where $H$ is a separable Hilbert space. Also, we prove some results of integral $K$-operator frame. Lastly we will establish some new properties for the perturbation and stability for an integral $K$-operator frames for $\mathcal{B}(H)$