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

Abdeslam Touri; Samir Kabbaj

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

Functional Analysis 2020-08-14 v1

Authors: Abdeslam Touri , Samir Kabbaj

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 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.2008.05950,
  title  = {Controlled K-operator frame for $End_\mathcal{A}^\ast (\mathcal{H})$},
  author = {Abdeslam Touri and Samir Kabbaj},
  journal= {arXiv preprint arXiv:2008.05950},
  year   = {2020}
}

Comments

arXiv admin note: text overlap with arXiv:2006.08354

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