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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Dissipative extensions of linear relations generated by integral equations with operator measures
Vladislav M. Bruk Saratov State Technical University, 77 Politekhnicheskaya str., Saratov 410054, Russia
Аннотация:
In the paper, a minimal relation $L_0$ generated by an integral equation with operator measures is defined and a description of the adjoint relation $L_0^*$ is given. For this minimal relation, we construct a space of boundary values (a boundary triplet) satisfying the abstract “Green formula” and get a description of maximal dissipative (accumulative) and also self-adjoint extensions of the minimal relation.
Ключевые слова и фразы:
Hilbert space, linear relation, integral equation, dissipative extension, self-adjoint extension, boundary value, operator measure.
Поступила в редакцию: 26.10.2019 Исправленный вариант: 10.12.2019
Образец цитирования:
Vladislav M. Bruk, “Dissipative extensions of linear relations generated by integral equations with operator measures”, Журн. матем. физ., анал., геом., 16:4 (2020), 381–401
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag763 https://www.mathnet.ru/rus/jmag/v16/i4/p381
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