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).
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203201034 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560904127905792 |
|---|---|
| author | Berrabah Bendoukha |
| author_facet | Berrabah Bendoukha |
| author_sort | Berrabah Bendoukha |
| collection | DOAJ |
| description | 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). |
| format | Article |
| id | doaj-art-d71da4b18da24bcaa200fbd3e9477987 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d71da4b18da24bcaa200fbd3e94779872025-02-03T01:26:34ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003291855186610.1155/S0161171203201034On a certain class of nonstationary sequences in Hilbert spaceBerrabah Bendoukha0Department of Mathematics, University of Mostaganem, Mostaganem 27000, AlgeriaWe 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).http://dx.doi.org/10.1155/S0161171203201034 |
| spellingShingle | Berrabah Bendoukha On a certain class of nonstationary sequences in Hilbert space International Journal of Mathematics and Mathematical Sciences |
| title | On a certain class of nonstationary sequences in Hilbert space |
| title_full | On a certain class of nonstationary sequences in Hilbert space |
| title_fullStr | On a certain class of nonstationary sequences in Hilbert space |
| title_full_unstemmed | On a certain class of nonstationary sequences in Hilbert space |
| title_short | On a certain class of nonstationary sequences in Hilbert space |
| title_sort | on a certain class of nonstationary sequences in hilbert space |
| url | http://dx.doi.org/10.1155/S0161171203201034 |
| work_keys_str_mv | AT berrabahbendoukha onacertainclassofnonstationarysequencesinhilbertspace |