Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$
Functional Analysis
2022-12-15 v1
Abstract
The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators on a Hilbert pro--module The analysis operator, the synthesis operator and the frame operator are presented. Secondly, we study the stability of operator frame under small perturbations. We also study the tensor product of operator frame for Hilbert pro--modules. Finally, we establish its dual and some properties.
Cite
@article{arxiv.2212.07004,
title = {Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$},
author = {Roumaissae Eljazzar and Mohamed Rossafi and Choonkil Park},
journal= {arXiv preprint arXiv:2212.07004},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2111.09835