Iterations of the generalized Gram-Schmidt procedure for generating Parseval frames

Abstract

In this paper we describe some properties of the generalized Gram-Schmidt procedure (GGSP) for generating Parseval frames which was first introduced by Casazza and Kutyniok [A generalization of Gram-Schmidt orthogonalization generating all Parseval frames, Adv. Comput. Math. 27 (2007), pp. 65-78]. Next we investigate the iterations of the procedure and its limit. In the end we give some examples of the iterated procedure.