Completion and extension of operators in Krein spaces
A generalization of the well-known results of M.G. Kreiın on the description of the self-adjoint contractive extension of a Hermitian contraction is obtained. This generalization concerns the situation where the self-adjoint operator A and extensions A belong to a Kreiın space or a Pontryagin space,...
Saved in:
| Published in: | Український математичний вісник |
|---|---|
| Date: | 2016 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2016
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/145084 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Completion and extension of operators in Krein spaces / D. Baidiuk // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 452-472. — Бібліогр.: 27 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862714493964910592 |
|---|---|
| author | Baidiuk, D. |
| author_facet | Baidiuk, D. |
| citation_txt | Completion and extension of operators in Krein spaces / D. Baidiuk // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 452-472. — Бібліогр.: 27 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | A generalization of the well-known results of M.G. Kreiın on the description of the self-adjoint contractive extension of a Hermitian contraction is obtained. This generalization concerns the situation where the self-adjoint operator A and extensions A belong to a Kreiın space or a Pontryagin space, and their defect operators are allowed to have a fixed number of negative eigenvalues. A result of Yu. L. Shmul’yan on completions of nonnegative block operators is generalized for block operators with a fixed number of negative eigenvalues in a Kreiın space.
|
| first_indexed | 2025-12-07T17:51:31Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-145084 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T17:51:31Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Baidiuk, D. 2019-01-14T20:28:45Z 2019-01-14T20:28:45Z 2016 Completion and extension of operators in Krein spaces / D. Baidiuk // Український математичний вісник. — 2016. — Т. 13, № 4. — С. 452-472. — Бібліогр.: 27 назв. — англ. 1810-3200 https://nasplib.isofts.kiev.ua/handle/123456789/145084 2010 MSC. 46C20, 47A20, 47A63 A generalization of the well-known results of M.G. Kreiın on the description of the self-adjoint contractive extension of a Hermitian contraction is obtained. This generalization concerns the situation where the self-adjoint operator A and extensions A belong to a Kreiın space or a Pontryagin space, and their defect operators are allowed to have a fixed number of negative eigenvalues. A result of Yu. L. Shmul’yan on completions of nonnegative block operators is generalized for block operators with a fixed number of negative eigenvalues in a Kreiın space. en Інститут прикладної математики і механіки НАН України Український математичний вісник Completion and extension of operators in Krein spaces Article published earlier |
| spellingShingle | Completion and extension of operators in Krein spaces Baidiuk, D. |
| title | Completion and extension of operators in Krein spaces |
| title_full | Completion and extension of operators in Krein spaces |
| title_fullStr | Completion and extension of operators in Krein spaces |
| title_full_unstemmed | Completion and extension of operators in Krein spaces |
| title_short | Completion and extension of operators in Krein spaces |
| title_sort | completion and extension of operators in krein spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/145084 |
| work_keys_str_mv | AT baidiukd completionandextensionofoperatorsinkreinspaces |