ON THE DUAL OF p-FRAMES

The concept of frames in Banach spaces has been introduced by Gr¨ochenig and developed by several authors. The main feature of a frame is to present every element of underlying Banach space as a norm convergent series. In this decomposition, dual frames plays an essential role. The existence of a dual p-frame dose not guarantee in general. Some characterizations of dual of p-frames are given in this paper.