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arxiv: 1108.1279 · v2 · pith:LHG3WVTOnew · submitted 2011-08-05 · 🧮 math.SP

Absence of eigenvalues of non-selfadjoint Schr\"odinger operators on the boundary of their numerical range

classification 🧮 math.SP
keywords absenceboundaryeigenvaluesnon-selfadjointnumericalodingeroperatorsrange
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We use a classical result of Hildebrandt to establish simple conditions for the absence of eigenvalues of non-selfadjoint discrete and continuous Schr\"odinger operators on the boundary of their numerical range.

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