Controlled Frame for Operator in Hilbert c∗-Modules

Abstract

In this study, we will introduce a new concept, which is a controlled K-operator frame for the space of all adjointable operators on a Hilbert A-module ℋ which denoted EndA∗ℋ, where A is a C∗-algebra. Also, we establish some results of the controlled K-operator frame in EndA∗ℋ. The presented results are new and of interest for people working in this area. Some illustrative examples are provided to advocate the usability of our results.