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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| Дата: | 2006 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2006
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124564 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-124564 |
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dspace |
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irk-123456789-1245642017-09-30T03:03:42Z Operator pencils of the second order and linear fractional relations Khatskevich, V. Karelin, I. Zelenko, L. 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. 2006 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/124564 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Khatskevich, V. Karelin, I. Zelenko, L. |
| spellingShingle |
Khatskevich, V. Karelin, I. Zelenko, L. Operator pencils of the second order and linear fractional relations Український математичний вісник |
| author_facet |
Khatskevich, V. Karelin, I. Zelenko, L. |
| author_sort |
Khatskevich, V. |
| title |
Operator pencils of the second order and linear fractional relations |
| title_short |
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_sort |
operator pencils of the second order and linear fractional relations |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/124564 |
| 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. |
| series |
Український математичний вісник |
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2023-10-18T20:46:40Z |
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2023-10-18T20:46:40Z |
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1796151083100274688 |