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

Roumaissae Eljazzar; Mohamed Rossafi

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

Functional Analysis 2021-11-19 v1

Authors: Roumaissae Eljazzar , Mohamed Rossafi

Abstract

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.

Keywords

frame theory operator theory on hilbert spaces hilbert modules

Cite

@article{arxiv.2111.09835,
  title  = {$\ast$-Operator frame for $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$},
  author = {Roumaissae Eljazzar and Mohamed Rossafi},
  journal= {arXiv preprint arXiv:2111.09835},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1806.03993

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