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arXiv · 2302.07847

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

Hatim Labrigui·Mohamed Rossafi·Abdeslam Touri·Nadia Assila
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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.

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Hatim Labrigui, Mohamed Rossafi, Abdeslam Touri, Nadia Assila. 2023-01-19. Controlled $\ast$-K-operator frame for $End_\mathcal{A}^\ast (\mathcal{H})$. https://arxiv.org/abs/2302.07847

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