International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2003 / Article

Open Access

Volume 2003 |Article ID 326906 | https://doi.org/10.1155/S0161171203201034

Berrabah Bendoukha, "On a certain class of nonstationary sequences in Hilbert space", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 326906, 12 pages, 2003. https://doi.org/10.1155/S0161171203201034

On a certain class of nonstationary sequences in Hilbert space

Received08 Jan 2002

Abstract

We study the functions of correlation K(n,m)=X(n),X(m) of certain sequences: X(n)=Tnx0, x0H where T is a contraction in Hilbert space H. By using the spectral methods of the nonunitary operators we give the general form of K(n,m) and its asymptotic behaviour limp+K(n+p,m+p).

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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