P-woven frames (Q2320100)

The authors studied woven frames in this article and obtained various results related to woven frames. The notion of P-woven pairs of frames is extended to the \(n\)-tuples of frames and is referred as P-weaven frame. Some results concerning frames to be P-woven are given. Few results regarding P-weaven frames are proved in terms of frame operators. In last section of the paper, CP-woven frames are defined and studied. Various results are obtained for CP-woven frames together with few results involving overcomplete frames and Riesz bases (frames). Sufficient number of examples are provided to support the existence and to illustrate different non-equivalent notions of P-woven frames, P-weaven frames and CP-woven frames.