g-frames generated by iterated operators

Assuming that λ is a bounded operator on a hilbert space h, this study investigate the structure of the g-frames generated by iterations of λ. specifically, we provide characterizations of g-frames in the form of {λn}∞ n=1 and describe some conditions under which the sequence {λn}∞ n=1 forms a g-frame for h. additionally, we verify the properties of the operator λ when {λn}∞ n=1 is a g-frame for h. moreover, we study the g-riesz bases and dual g-frames which are generated by iterations. finally, we discuss the stability of these types of g-frames under some perturbations..