Representation theorems and variational principles for self-adjoint operator matrices


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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

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Email: vladimirov@shkal.math.msu.su
俄罗斯联邦, Moscow; Moscow

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