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arxiv: 1806.07503 · v4 · submitted 2018-06-19 · 🧮 math-ph · math.MP· math.SP

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Perturbation theory for selfadjoint relations

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classification 🧮 math-ph math.MPmath.SP
keywords relationsperturbationperturbationsselfadjointanalysiscarrycasechanges
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We study Weyl-type perturbation theorems in the context of linear closed relations. We establish general results on perturbations for dissipative relations. In the particular case of selfadjoint relations, we study finite-rank perturbations and carry out a detailed analysis of the corresponding changes in the spectrum.

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