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Mohamed Rossafi

Publications and source records attributed to Mohamed Rossafi.

49 records · Page 3Linked to original sources
arXiv2021

Controlled K-g-fusion frames in Hilbert C*-modules

Controlled frames have been the subject of interest because of its ability to improve the numerical efficiency of iterative algorithms for inverting the frame operator. In this paper, we introduce the concepts of controlled g-fusion frame and controlled K-g-fusion frame in Hilbert C*-modules and we give some properties. Also, we study the pertubation problem of controlled K-g-fusion frame. Moreover, an illustrative examples is presented to support the obtained results.

math.OA↗
arXiv2021

$\ast$-Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$

In this Work, We introduce the concept of $\ast$-operator frame, which is a generalization of $\ast$-frames in Hilbert pro-$C^{\ast}$-modules, and we establish some results, we also study the tensor product of $\ast$-operator frame for Hilbert pro-$C^{\ast}$-modules.

math.FA↗
arXiv2021

*-K-g-Frames and their duals for Hilbert A-modules

Frame theory has a great revolution in recent years. This new Theory have been extended from Hilbert spaces to Hilbert C*-modules. In this paper, we introduce the notion of dual *-K-g-frames in Hilbert A-modules. Lastly we study *-K-g-frames in tensor product of Hilbert C*-Modules and we establish some new results.

math.OA↗
arXiv2020

Dual continuous $K$-Frames in Hilbert spaces

Frame theory is recently an active research area in mathematics, computer science and engineering with many exciting applications in a variety of different fields. This theory has been generalized rapidly and various generalizations of frames in Hilbert spaces. In this papers we study the notion of dual continuous $K$-frames in Hilbert spaces. Also we etablish some new properties.

math.FA↗
arXiv2020

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

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 $\mathcal{B}(H)$

math.FA↗
arXiv2020

$θ-ϕ-$contraction on $\left(α,η\right)-$complete rectangular $b-$ metric spaces

In this paper, we present some fixed point results for generalized $θ-ϕ-$contraction in the framework of $\left( α,η\right)-$compete rectangular $b-$metric spaces. Further, we establish some fixed point theorems for this type of mappings defined on such spaces. The presented extend, generalize and improve existing results in the literature. Moreover, to support our main results we give an illustrative example.

math.GM↗
arXiv2019

Some generalizations of frames in Hilbert modules

Frames play significant role in various areas of science and engineering. In this paper, we introduce the concepts of frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H, K})$ and their generalizations. Moreover, we obtain some new results for generalized frames in Hilbert modules.

math.OA↗
arXiv2019

Perturbation and stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$

Frame theory is recently an active research area in mathematics, computer science, and engineering with many exciting applications in a variety of different fields. In this paper, we firstly give a characterization of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$. Lastly we consider the stability of operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ and $K$-operator frames for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ under perturbation and we establish some results.

math.FA↗