On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems. II. Abstract Theory
|
|
| Creator |
Khrabustovsky, V.I.
|
|
| 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.
|
|
| Date |
2016-10-01T13:32:17Z
2016-10-01T13:32:17Z 2006 |
|
| Type |
Article
|
|
| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/106621 |
|
| Language |
en
|
|
| Relation |
Журнал математической физики, анализа, геометрии
|
|
| Publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
|
|