Representation theorems and variational principles for self-adjoint operator matrices
- 作者: Vladimirov A.A.1,2
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隶属关系:
- Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
- Dorodnicyn Computing Center of the Russian Academy of Sciences
- 期: 卷 101, 编号 3-4 (2017)
- 页面: 619-630
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150020
- DOI: https://doi.org/10.1134/S0001434617030208
- ID: 150020
如何引用文章
详细
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.
作者简介
A. Vladimirov
Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences; Dorodnicyn Computing Center of the Russian Academy of Sciences
编辑信件的主要联系方式.
Email: vladimirov@shkal.math.msu.su
俄罗斯联邦, Moscow; Moscow
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