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On the spectrum of a self-adjoint polynomial pencil - MaRDI portal

On the spectrum of a self-adjoint polynomial pencil (Q1128370)

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scientific article; zbMATH DE number 1188095
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On the spectrum of a self-adjoint polynomial pencil
scientific article; zbMATH DE number 1188095

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    On the spectrum of a self-adjoint polynomial pencil (English)
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    26 August 1998
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    For a selfadjoint polynomial operator pencil \(P(\lambda)\) in a separable Hilbert space it is studied the angle location of its spectrum. In addition, estimates of some norms of \(P^{-1}(\lambda)\) are obtained. In the case of differential operator pencils asymptotic properties of eigenvalues are investigated too.
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    polynomial operator pencils
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    differential operator pencils
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    asymptotic properties of eigenvalues
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