On the distribution of eigenvalues of non-selfadjoint operators

2008/02/18 by Michael Demuth, Demuth, Michael, Marcel Hansmann +3
Mathematics · #Differential Equations and Boundary Problems #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math.FA #math.SP

paper · pdf · doi:10.48550/arxiv.0802.2468

arxiv created 2008/02/18 · arxiv updated 2009/12/01

Abstract

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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