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Bibliographic Details
Main Authors: Karara, Abdelilah, Mabrouk, Khadija
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.17618
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Table of Contents:
  • In this peaper we stady certain Bessel sequences $\left\{f_k\right\}_{k=1}^{\infty}$ in Hilbert C*- modules $\mathcal{H}$ for which operator $S$ defined by \ref{eq2} is of the form $\mathcal{T}+ξI$, for some real number $ξ$ and a adjointable linear operator $\mathcal{T}$. Additionally, we investigate frames known as compact-tight frames, which have frame operators that are compact perturbations of constant multiples of the identity. As a conclusion, we provide a theory regarding the weaving of specific compact-tight frames.