On Perturbations of the Semigroup of Shifts on the Half-Axis Changing the Domain of Its Generator

Abstract

We consider singular rank one perturbations of the semigroup of shifts on the half-axis changing the domain of its generator. Only one example using the projection on the exponential vector is considered.

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Correspondence to G. G. Amosov or E. L. Baitenov.

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(Submitted by S. A. Grigoryan)

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Amosov, G.G., Baitenov, E.L. On Perturbations of the Semigroup of Shifts on the Half-Axis Changing the Domain of Its Generator. Lobachevskii J Math 41, 2303–2309 (2020). https://doi.org/10.1134/S1995080220120057

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Keywords:

  • the semigroup of shifts on the half-axis
  • singular rank one perturbations