Bessel sequences in Hilbert C-modules
Abstract
In this peaper we stady certain Bessel sequences \fk\k=1∞ in Hilbert C*- modules H for which operator S defined by eq2 is of the form T+ I, for some real number 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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