Rad HAZU, Matematičke znanosti, Vol. 20 (2016), 71-81.

ITERATIONS OF THE GENERALIZED GRAM-SCHMIDT PROCEDURE FOR GENERATING PARSEVAL FRAMES

Tomislav Berić

Department of Mathematics, University of Zagreb, Bijenička 30, 10 000 Zagreb, Croatia
e-mail: tberic@math.hr

Abstract.   In this paper we describe some properties of the generalized Gram–Schmidt procedure (GGSP) for generating Parseval frames which was first introduced in [3]. Next we investigate the iterations of the procedure and its limit. In the end we give some examples of the iterated procedure.

2010 Mathematics Subject Classification.   42C15, 94A12.

Key words and phrases.   Finite-dimensional Hilbert space, Gram–Schmidt orthogonalization, linear dependence, Parseval frame, redundancy, iterations.

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