On the truncated operator trigonometric moment problem
In this paper we study the truncated operator trigonometric moment problem. All solutions of the moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula ar...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-07-01
|
| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0002/conop-2015-0002.xml?format=INT |
| _version_ | 1818369293513916416 |
|---|---|
| author | Zagorodnyuk Sergey |
| author_facet | Zagorodnyuk Sergey |
| author_sort | Zagorodnyuk Sergey |
| collection | DOAJ |
| description | In this paper we study the truncated operator trigonometric moment problem. All solutions of the
moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a
separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula are calculated
by the prescribed moments. Conditions for the determinacy of the moment problem are given, as well. |
| first_indexed | 2024-12-13T23:21:32Z |
| format | Article |
| id | doaj.art-fb181b6eb6ae4e6bb136d705bd4a8bea |
| institution | Directory Open Access Journal |
| issn | 2299-3282 |
| language | English |
| last_indexed | 2024-12-13T23:21:32Z |
| publishDate | 2015-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Concrete Operators |
| spelling | doaj.art-fb181b6eb6ae4e6bb136d705bd4a8bea2022-12-21T23:27:44ZengDe GruyterConcrete Operators2299-32822015-07-012110.1515/conop-2015-0002conop-2015-0002On the truncated operator trigonometric moment problemZagorodnyuk Sergey0School of Mathematics and Mechanics, V.N. Karazin Kharkiv National University, Svobody Square, 4, 61022 Kharkiv, UkraineIn this paper we study the truncated operator trigonometric moment problem. All solutions of the moment problem are described by a Nevanlinna-type parameterization. In the case of moments acting in a separable Hilbert space, the matrices of the operator coefficients in the Nevanlinna-type formula are calculated by the prescribed moments. Conditions for the determinacy of the moment problem are given, as well.http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0002/conop-2015-0002.xml?format=INTmoment problem generalized resolvent isometric operator |
| spellingShingle | Zagorodnyuk Sergey On the truncated operator trigonometric moment problem Concrete Operators moment problem generalized resolvent isometric operator |
| title | On the truncated operator trigonometric moment problem |
| title_full | On the truncated operator trigonometric moment problem |
| title_fullStr | On the truncated operator trigonometric moment problem |
| title_full_unstemmed | On the truncated operator trigonometric moment problem |
| title_short | On the truncated operator trigonometric moment problem |
| title_sort | on the truncated operator trigonometric moment problem |
| topic | moment problem generalized resolvent isometric operator |
| url | http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0002/conop-2015-0002.xml?format=INT |
| work_keys_str_mv | AT zagorodnyuksergey onthetruncatedoperatortrigonometricmomentproblem |