On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression
In terms of boundary values, we describe a spectrum of the linear relations indicated in the paper title. We study the invertible restrictions of maximal relation and show that the operators inverse to these restrictions are integral. The criterion of holomorphicity of the family of these operators...
Збережено в:
| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106537 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 123-144. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106537 |
|---|---|
| record_format |
dspace |
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irk-123456789-1065372016-10-01T03:01:50Z On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression Bruk, V.M. In terms of boundary values, we describe a spectrum of the linear relations indicated in the paper title. We study the invertible restrictions of maximal relation and show that the operators inverse to these restrictions are integral. The criterion of holomorphicity of the family of these operators is determined. Using the results obtained, we show that the minimal relation is symmetric in Hilbert space and describe all generalized resolvents of this relation. 2009 Article On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 123-144. — Бібліогр.: 25 назв. — англ. 1812-9471 http://dspace.nbuv.gov.ua/handle/123456789/106537 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In terms of boundary values, we describe a spectrum of the linear relations indicated in the paper title. We study the invertible restrictions of maximal relation and show that the operators inverse to these restrictions are integral. The criterion of holomorphicity of the family of these operators is determined. Using the results obtained, we show that the minimal relation is symmetric in Hilbert space and describe all generalized resolvents of this relation. |
| format |
Article |
| author |
Bruk, V.M. |
| spellingShingle |
Bruk, V.M. On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression Журнал математической физики, анализа, геометрии |
| author_facet |
Bruk, V.M. |
| author_sort |
Bruk, V.M. |
| title |
On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression |
| title_short |
On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression |
| title_full |
On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression |
| title_fullStr |
On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression |
| title_full_unstemmed |
On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression |
| title_sort |
on linear relations generated by nonnegative operator function and degenerate elliptic differential-operator expression |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106537 |
| citation_txt |
On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 2. — С. 123-144. — Бібліогр.: 25 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT brukvm onlinearrelationsgeneratedbynonnegativeoperatorfunctionanddegenerateellipticdifferentialoperatorexpression |
| first_indexed |
2023-10-18T20:13:10Z |
| last_indexed |
2023-10-18T20:13:10Z |
| _version_ |
1796149285912313856 |