Enviar artigo por via de e-mail Representation theorems and variational principles for self-adjoint operator matrices
- Autores: Vladimirov A.A.1,2
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Afiliações:
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Dorodnicyn Computing Center of the Russian Academy of Sciences
- Edição: Volume 101, Nº 3-4 (2017)
- Páginas: 619-630
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150020
- DOI: https://doi.org/10.1134/S0001434617030208
- ID: 150020
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Resumo
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.
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Sobre autores
A. Vladimirov
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Dorodnicyn Computing Center of the Russian Academy of Sciences
Autor responsável pela correspondência
Email: vladimirov@shkal.math.msu.su
Rússia, Moscow; Moscow
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