Bound on the number of eigenvalues near the boundary of the pseudospectrum

Hager, Mildred

doi:10.1090/S0002-9939-07-08914-9

Bound on the number of eigenvalues near the boundary of the pseudospectrum
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Proc. Amer. Math. Soc. 135 (2007), 3867-3873 Request permission

Abstract:

We show an estimate of the number of eigenvalues in a neighbourhood of a finite part of the boundary of the semiclassical pseudospectrum of pseudodifferential non-selfadjoint operators in terms of a corresponding volume in phase space.

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