Controlled $\ast$-K-operator frame for $En{d}_{\mathcal{A}}^{\ast }(\mathcal{H})$

Abstract

Frame Theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert $C^{\ast }$-modules. In this paper, we introduce the concept of Controlled $\ast$-$K$-operator frame for the space $En{d}_{\mathcal{A}}^{\ast }(\mathcal{H})$ of all adjointable operators on a Hilbert $\mathcal{A}$-module $\mathcal{H}$ and we establish some results.

arXiv admin note: substantial text overlap with arXiv:2008.05950