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

Hatim Labrigui; Mohamed Rossafi; Abdeslam Touri; Nadia Assila

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

Functional Analysis 2023-02-16 v1

Authors: Hatim Labrigui , Mohamed Rossafi , Abdeslam Touri , Nadia Assila

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 $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ of all adjointable operators on a Hilbert $\mathcal{A}$ -module $\mathcal{H}$ and we establish some results.

Keywords

frame theory operator theory on hilbert spaces hilbert modules

Cite

@article{arxiv.2302.07847,
  title  = {Controlled $\ast$-K-operator frame for $End_\mathcal{A}^\ast (\mathcal{H})$},
  author = {Hatim Labrigui and Mohamed Rossafi and Abdeslam Touri and Nadia Assila},
  journal= {arXiv preprint arXiv:2302.07847},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2008.05950

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

Abstract

Keywords

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