Perturbation determinants in Banach spaces — with an application to eigenvalue estimates for perturbed operators |
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Authors: | Marcel Hansmann |
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Affiliation: | Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany |
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Abstract: | In the first part of this paper we provide a self‐contained introduction to (regularized) perturbation determinants for operators in Banach spaces. In the second part, we use these determinants to derive new bounds on the discrete eigenvalues of compactly perturbed operators, broadly extending some recent results by Demuth et al. In addition, we also establish new bounds on the discrete eigenvalues of generators of C0‐semigroups. |
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Keywords: | Perturbation determinants Banach spaces eigenvalue estimates compact perturbation 47A10 47A55 47B10 |
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