Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range

Hansmann, Marcel

doi:10.1090/S0002-9939-2014-11885-5

Absence of eigenvalues of non-selfadjoint Schrödinger operators on the boundary of their numerical range
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Proc. Amer. Math. Soc. 142 (2014), 1321-1335 Request permission

Abstract:

We use a classical result of Hildebrandt to establish simple conditions for the absence of eigenvalues of non-selfadjoint discrete and continuous Schrödinger operators on the boundary of their numerical range.

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