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...
Gespeichert in:
| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2009 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106537 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862529889811300352 |
|---|---|
| author | Bruk, V.M. |
| author_facet | Bruk, V.M. |
| 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. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| 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.
|
| first_indexed | 2025-11-24T02:15:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106537 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-24T02:15:58Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Bruk, V.M. 2016-09-30T06:59:36Z 2016-09-30T06:59:36Z 2009 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 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. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression Article published earlier |
| spellingShingle | On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression Bruk, V.M. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106537 |
| work_keys_str_mv | AT brukvm onlinearrelationsgeneratedbynonnegativeoperatorfunctionanddegenerateellipticdifferentialoperatorexpression |