مشخصات پژوهش

Banach frames are defined by straightforward generalization of (Hilbert space) frames. In this article, we would investigate that the perturbed frames is obtained as the image of a bounded, invertible operator of a given frame. Also, we show that if X; Y;Z are three Banach spaces having Banach frames, then the product X  Y  Z has an exact Banach frame. In this paper, we generalized this concept to the vector-valued frames. Also we give some fundemental properties of vector-valued weaving frames and generalized an example of this in the n-term.