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arxiv: 0802.2468 · v1 · submitted 2008-02-18 · 🧮 math.SP · math.FA

On the distribution of eigenvalues of non-selfadjoint operators

classification 🧮 math.SP math.FA
keywords eigenvaluesnon-selfadjointoperatorsboundedboundsdeterminantdistributionfunction
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We prove quantitative bounds on the eigenvalues of non-selfadjoint bounded and unbounded operators. We use the perturbation determinant to reduce the problem to one of studying the zeroes of a holomorphic function.

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