Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Zagorodnyuk, S.M. | |
| dc.date.accessioned | 2019-02-11T14:57:30Z | |
| dc.date.available | 2019-02-11T14:57:30Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum / S.M. Zagorodnyuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 10 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 44A60 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2011.016 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146779 | |
| dc.description.abstract | In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an orthonormal basis in H. It is shown that a set of all such operators is a proper subset of a set of all complex symmetric operators with a simple spectrum. Similar necessary and sufficient conditions are obtained for a linear bounded operator in H to have a three-diagonal complex skew-symmetric matrix with non-zero elements on the first sub-diagonal in an orthonormal basis in H. | uk_UA |
| dc.description.sponsorship | The author is grateful to referees for their comments and suggestions. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
