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

preprint2020arXivOpen access

Abstract

Frame Theory has a great revolution for recent years. This theory has been extended from Hilbert spaces to Hilbert C∗C^{\ast}-modules. In this paper, we introduce the concept of Controlled K-operator frame for the space EndA∗(H)End_{\mathcal{A}}^{\ast}(\mathcal{H}) of all adjointable operators on a Hilbert A\mathcal{A}-module H\mathcal{H} and we establish some results.

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