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Topology of splitting of multiple eigenvalues of real self-adjoint operators - MaRDI portal

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Topology of splitting of multiple eigenvalues of real self-adjoint operators (Q2901693)

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scientific article; zbMATH DE number 6062214
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English
Topology of splitting of multiple eigenvalues of real self-adjoint operators
scientific article; zbMATH DE number 6062214

    Statements

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    31 July 2012
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    eigenvalue splitting problem
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    selfadjoint operator
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    diffeomorphism
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    Topology of splitting of multiple eigenvalues of real self-adjoint operators (English)
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    In this paper, it is considered the topology of splitting of isolated eigenvalues of finite multiplicity of real selfadjoint operators. The main tool of investigation is a certain spectral local diffeomorphism in the space of selfadjoint operators, proposed by \textit{D. Fujiwara}, \textit{M. Tanikawa} and \textit{S. Yukita} [Proc. Jap. Acad., Ser. A 54, 87--91 (1978; Zbl 0416.35054)].
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