Operator pencils of the second order and linear fractional relations
The notions of a pencil of the second order and a linear fractional relation (LFR) are defined in spaces of linear bounded operators acting between Banach spaces. It is shown that these notions are closely connected with various theoretical and applied problems and have diverse applications. A numbe...
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| Published in: | Український математичний вісник |
|---|---|
| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124564 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Operator pencils of the second order and linear fractional relations / V. Khatskevich, I. Karelin, L. Zelenko // Український математичний вісник. — 2006. — Т. 3, № 4. — С. 467-503. — Бібліогр.: 87 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862664167583907840 |
|---|---|
| author | Khatskevich, V. Karelin, I. Zelenko, L. |
| author_facet | Khatskevich, V. Karelin, I. Zelenko, L. |
| citation_txt | Operator pencils of the second order and linear fractional relations / V. Khatskevich, I. Karelin, L. Zelenko // Український математичний вісник. — 2006. — Т. 3, № 4. — С. 467-503. — Бібліогр.: 87 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | The notions of a pencil of the second order and a linear fractional relation (LFR) are defined in spaces of linear bounded operators acting between Banach spaces. It is shown that these notions are closely connected with various theoretical and applied problems and have diverse applications. A number of the open problems, both for pencils and LFR, are posed in this paper. Some of the above problems are solved and applied to the study of dichotomic behavior of dynamical systems.
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| first_indexed | 2025-12-07T15:13:27Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124564 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T15:13:27Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Khatskevich, V. Karelin, I. Zelenko, L. 2017-09-29T10:48:29Z 2017-09-29T10:48:29Z 2006 Operator pencils of the second order and linear fractional relations / V. Khatskevich, I. Karelin, L. Zelenko // Український математичний вісник. — 2006. — Т. 3, № 4. — С. 467-503. — Бібліогр.: 87 назв. — англ. 1810-3200 2000 MSC. 47B50, 32H99, 93C15, 37D99. https://nasplib.isofts.kiev.ua/handle/123456789/124564 The notions of a pencil of the second order and a linear fractional relation (LFR) are defined in spaces of linear bounded operators acting between Banach spaces. It is shown that these notions are closely connected with various theoretical and applied problems and have diverse applications. A number of the open problems, both for pencils and LFR, are posed in this paper. Some of the above problems are solved and applied to the study of dichotomic behavior of dynamical systems. en Інститут прикладної математики і механіки НАН України Український математичний вісник Operator pencils of the second order and linear fractional relations Article published earlier |
| spellingShingle | Operator pencils of the second order and linear fractional relations Khatskevich, V. Karelin, I. Zelenko, L. |
| title | Operator pencils of the second order and linear fractional relations |
| title_full | Operator pencils of the second order and linear fractional relations |
| title_fullStr | Operator pencils of the second order and linear fractional relations |
| title_full_unstemmed | Operator pencils of the second order and linear fractional relations |
| title_short | Operator pencils of the second order and linear fractional relations |
| title_sort | operator pencils of the second order and linear fractional relations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124564 |
| work_keys_str_mv | AT khatskevichv operatorpencilsofthesecondorderandlinearfractionalrelations AT karelini operatorpencilsofthesecondorderandlinearfractionalrelations AT zelenkol operatorpencilsofthesecondorderandlinearfractionalrelations |