Bessel sequences in Hilbert C^∗-modules

2023/12/29 by Karara, Abdelilah, Mabrouk, Khadija
#42C15 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2312.17618

Abstract

In this peaper we stady certain Bessel sequences \f_k\_k=1^∞ in Hilbert C*- modules H for which operator S defined by \refeq2 is of the form T+ξI, for some real number ξ and a adjointable linear operator 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.

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