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...
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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Schriftenreihe: | Журнал математической физики, анализа, геометрии |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
oai:nasplib.isofts.kiev.ua:123456789-106537 |
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oai:nasplib.isofts.kiev.ua:123456789-1065372025-02-23T17:18:54Z 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 https://nasplib.isofts.kiev.ua/handle/123456789/106537 en Журнал математической физики, анализа, геометрии application/pdf 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 |
| 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 |
2025-07-22T04:12:39Z |
| last_indexed |
2025-07-22T04:12:39Z |
| _version_ |
1838318941457350656 |