On a certain class of nonstationary sequences in Hilbert space
We study the functions of correlation K(n,m)=〈X(n),X(m)〉 of certain sequences: X(n)=Tnx0, x0∈H 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).
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203201034 |