Seminars: G. G. Amosov, On rank one singular perturbations of the semigroup of shifts on the semi-axis

SEMINARS


Algebras in Analysis March 6, 2020 18:05, Moscow, Lomonosov Moscow State University, room 13-20.

On rank one singular perturbations of the semigroup of shifts on the semi-axis G. G. Amosov
Abstract: In 2013 A.D. Baranov and D.V. Yakubovich constructed a model of singular rank one perturbation of a self-adjoint operator resulting to empty spectrum of the perturbed operator. The peculiarity of this perturbation, marked by the word "singular", is that the domain of the original operator changes. I tried to construct, by analogy, singular rank one perturbations of the semigroup of shifts on the semi-axis, leading to semigroups of contractions.