Bessel sequences in Hilbert $C^{\ast}$-modules
Functional Analysis
2024-01-01 v1
Abstract
In this peaper we stady certain Bessel sequences in Hilbert C*- modules for which operator defined by \ref{eq2} is of the form , for some real number and a adjointable linear operator . 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.
Cite
@article{arxiv.2312.17618,
title = {Bessel sequences in Hilbert $C^{\ast}$-modules},
author = {Abdelilah Karara and Khadija Mabrouk},
journal= {arXiv preprint arXiv:2312.17618},
year = {2024}
}