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math-ph2018
Perturbation theory for selfadjoint relations
Josué I. Rios-Cangas, Luis O. Silva
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…
math.FA2018
Canonical decomposition of dissipative linear relations
Josué I. Rios-Cangas
On the basis of Sz. Nagy-Foiaş-Langer and von Neumann-Wold decompositions, two decompositions for dissipative linear relations are given and they are realized by transforming invar…