Abstract
We study Weyl-type perturbation theorems in the context of closed linear relations. General results on perturbations for dissipative relations are established. In the particular case of selfadjoint relations, we treat finite-rank perturbations and carry out a detailed analysis of the corresponding changes in the spectrum.
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Acknowledgements
This research was supported by UNAM-DGAPA-PAPIIT IN110818 and SEP-CONACYT CB-2015 254062. Part of this work was carried out while LOS was on sabbatical leave from UNAM with the support of PASPA-DGAPA-UNAM. The authors express their deep gratitude to the referee for comments and suggestions which have led to an improved presentation of this work.
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Communicated by Dragana Cvetković-Ilić.
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Rios-Cangas, J.I., Silva, L.O. Perturbation theory for selfadjoint relations. Ann. Funct. Anal. 11, 154–170 (2020). https://doi.org/10.1007/s43034-019-00027-y
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DOI: https://doi.org/10.1007/s43034-019-00027-y