Generalized frame generators for unitary systems on Hilbert spaces

In this paper, we study the concept of generalized Bessel (frames,Riesz basis and othonormal basis) generators for a unitary system of operatorson a separable Hilbert space. Some characterizations of these generators arepresented in term of a generalized wandering generator for the unitary system.Also it is prove that the set of wandering generator for a unitary system isclosed under some combinations.

کلیدواژه ها:

Unitary system ، g-frame ، Wandering vector