Woven (Weaving) Frames in Banach Spaces

Abstract

Banach frames are defined by the straightforward generalization of Hilbert space frames. Woven (weaving) frames are the recent generalization of standard frames which appeared in the applications of distributed signal processing. In this paper, we introduce the concepts of woven (weaving) Bessel and frame sequences in Banach spaces and characterize the woven frames in terms of bounded operators. We also give some equivalent conditions for woven Xd-frame in Banach spaces.