Representation theorems and variational principles for self-adjoint operator matrices
- Авторлар: Vladimirov A.A.1,2
-
Мекемелер:
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Dorodnicyn Computing Center of the Russian Academy of Sciences
- Шығарылым: Том 101, № 3-4 (2017)
- Беттер: 619-630
- Бөлім: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150020
- DOI: https://doi.org/10.1134/S0001434617030208
- ID: 150020
Дәйексөз келтіру
Аннотация
We use the notion of triples D+ → H → D− of Hilbert spaces to develop an analog of the Friedrichs extension procedure for a class of nonsemibounded operator matrices. In addition, we suggest a general approach (stated in the same terms) to the construction of variational principles for the eigenvalues of such matrices.
Негізгі сөздер
Авторлар туралы
A. Vladimirov
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Dorodnicyn Computing Center of the Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: vladimirov@shkal.math.msu.su
Ресей, Moscow; Moscow
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