Variation of the discrete eigenvalues of normal operators

Elsner, L.; Friedland, S.

doi:10.1090/S0002-9939-1995-1257103-X

Variation of the discrete eigenvalues of normal operators
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by L. Elsner and S. Friedland

Proc. Amer. Math. Soc. 123 (1995), 2511-2517

DOI: https://doi.org/10.1090/S0002-9939-1995-1257103-X

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Abstract:

The Hoffman-Wielandt inequality, which gives a bound for the distance between the spectra of two normal matrices, is generalized to normal operators A, B on a separable Hilbert space, such that $A - B$ is Hilbert-Schmidt.

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