Perturbation theory for selfadjoint relations

Published 19 Jun 2018 in math-ph, math.MP, and math.SP | (1806.07503v4)

Abstract: 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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