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• W2964129224 abstract "We show that non-round boundary points of the numerical range of an unbounded operator (i.e. points where the boundary has in finite curvature) are contained in the spectrum of the operator. Moreover, we show that non-round boundary points, which are not corner points, lie in the essential spectrum. is generalizes results of Hübner, Farid, Spitkovsky and Salinas and Velasco for the case of bounded operators. We apply our results to non-selfadjoint Schrödinger operators, showing that in this case the boundary of the numerical range can be non-round only at points where it hits the essential spectrum." @default.
• W2964129224 created "2019-07-30" @default.
• W2964129224 creator A5071084845 @default.
• W2964129224 date "2015-01-01" @default.
• W2964129224 modified "2023-09-26" @default.
• W2964129224 title "On non-round points of the boundary of the numerical range and an application to non-selfadjoint Schrödinger operators" @default.
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• W2964129224 doi "https://doi.org/10.4171/jst/112" @default.
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