Аннотация:
In the paper, a minimal relation L0 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
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\by Vladislav~M.~Bruk
\paper Dissipative extensions of linear relations generated by integral equations with operator measures
\jour Журн. матем. физ., анал., геом.
\yr 2020
\vol 16
\issue 4
\pages 381--401
\mathnet{http://mi.mathnet.ru/jmag763}
\crossref{https://doi.org/10.15407/mag16.04.381}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag763
https://www.mathnet.ru/rus/jmag/v16/i4/p381
Эта публикация цитируется в следующих 3 статьяx:
Vladislav Bruk, “Linear relations generated by integral equations with Nevanlinna operator measures”, Filomat, 38:4 (2024), 1153
Vladislav Bruk, “On characteristic functions of generalized resolvents generated by integral equations with operator measures”, Filomat, 37:23 (2023), 7699
Vladislav Bruk, “Generalized resolvents of linear relations generated by integral equations with operator measures”, Filomat, 36:14 (2022), 4793
Цитирование в формате AMSBIB
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