On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory
Special maximal semi-definite subspaces (maximal dissipative and accumulative relations) are considered. Particular cases of those arise in studying boundary problems for systems mentioned in the title. We provide a description of such subspaces and list their properties. A criterion is found that c...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106621 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 299-317. — Бібліогр.: 35 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862707084116623360 |
|---|---|
| author | Khrabustovsky, V.I. |
| author_facet | Khrabustovsky, V.I. |
| citation_txt | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 299-317. — Бібліогр.: 35 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | Special maximal semi-definite subspaces (maximal dissipative and accumulative relations) are considered. Particular cases of those arise in studying boundary problems for systems mentioned in the title. We provide a description of such subspaces and list their properties. A criterion is found that condition of semi-definiteness of sum of indefinite quadratic forms reduces to semi-definiteness of each of the summand forms, i.e it is separated. In the case when the forms depend on a parameter λ (e.g., a spectral parameter) within a domain Λ is in C, a condition is found under which separation of the semi-definiteness property at a single λ implies its separation for all λ.
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| first_indexed | 2025-12-07T17:03:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106621 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T17:03:43Z |
| publishDate | 2006 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Khrabustovsky, V.I. 2016-10-01T13:32:17Z 2016-10-01T13:32:17Z 2006 On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory / V.I. Khrabustovsky // Журнал математической физики, анализа, геометрии. — 2006. — Т. 2, № 3. — С. 299-317. — Бібліогр.: 35 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106621 Special maximal semi-definite subspaces (maximal dissipative and accumulative relations) are considered. Particular cases of those arise in studying boundary problems for systems mentioned in the title. We provide a description of such subspaces and list their properties. A criterion is found that condition of semi-definiteness of sum of indefinite quadratic forms reduces to semi-definiteness of each of the summand forms, i.e it is separated. In the case when the forms depend on a parameter λ (e.g., a spectral parameter) within a domain Λ is in C, a condition is found under which separation of the semi-definiteness property at a single λ implies its separation for all λ. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory Article published earlier |
| spellingShingle | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory Khrabustovsky, V.I. |
| title | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory |
| title_full | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory |
| title_fullStr | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory |
| title_full_unstemmed | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory |
| title_short | On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory |
| title_sort | on the characteristic operators and projections and on the solutions of weyl type of dissipative and accumulative operator systems. ii. abstract theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106621 |
| work_keys_str_mv | AT khrabustovskyvi onthecharacteristicoperatorsandprojectionsandonthesolutionsofweyltypeofdissipativeandaccumulativeoperatorsystemsiiabstracttheory |