On *-fusion frames for Hilbert C*-modules

Our main goal in this paper, is to generalize to Hilbert C*-modules the concept of fusion frames. Indeed we introduce the notion of *\~nfusion frames associated to weighted sequences of orthogonally complemented submodules of a Hilbert C*-module, and prove for such a *-fusion frames some fundamental results.Comment: 38 page

Controlled ∗\ast-K-operator frame for EndA∗(H)End_\mathcal{A}^\ast (\mathcal{H})

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 $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ of all adjointable operators on a Hilbert $\mathcal{A}$-module $\mathcal{H}$ and we establish some results.Comment: arXiv admin note: substantial text overlap with arXiv:2008.0595

Continuous weaving gg-frames in Hilbert C∗C^{\ast}-modules

The present paper aims to study $c$-$g$-woven for Hilbert $C^ {*}$-module spaces, first, we give some definitions and fundamental properties which will be useful to introduce the notion. And also some of his properties are given. Finally, we discuss the perturbation for $c$-$g$-woven