Email this article Representation theorems and variational principles for self-adjoint operator matrices
- Authors: Vladimirov A.A.1,2
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Affiliations:
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Dorodnicyn Computing Center of the Russian Academy of Sciences
- Issue: Vol 101, No 3-4 (2017)
- Pages: 619-630
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150020
- DOI: https://doi.org/10.1134/S0001434617030208
- ID: 150020
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Abstract
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.
About the authors
A. A. Vladimirov
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Dorodnicyn Computing Center of the Russian Academy of Sciences
Author for correspondence.
Email: vladimirov@shkal.math.msu.su
Russian Federation, Moscow; Moscow
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