Characterization and stability of woven p-frames in Banach spaces.

In this paper, we intend to prove the applied properties of woven p-frames from a functional analysis point of view. To this end, first, we prove the stability of the Banach woven p-frames under small perturbations. The results of the classical perturbation for bases led us to examine the perturbation of Banach woven p-frames and provide the new and weaker conditions that guarantee the desired stability. In the following, we give some ways to identify and build woven p-frames. To this end, we give the conditions under which a p-frame and a nite family of bounded invertible operators form a woven p-frame.