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On a theorem of Weyl - MaRDI portal

On a theorem of Weyl (Q5903300)

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scientific article; zbMATH DE number 3981860
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On a theorem of Weyl
scientific article; zbMATH DE number 3981860

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    On a theorem of Weyl (English)
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    1985
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    The authors present in their paper a construction for a Hilbert-Schmidt operator K of arbitrarily small Hilbert-Schmidt norm associated with a given hermitian operator A such that \(A+K\) has pure point spectrum. Since part of the proof (density of a set of vectors) was not checked, the generality of the original result must be reduced.
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    Hilbert-Schmidt operator
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    hermitian operator
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    pure point spectrum
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