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

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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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REFERENCES

  1. B. Sz.-Nagy and C. Foias, Harmonic Analysis of Operators on Hilbert Space (Akademiai Kiado/North-Holland, Amsterdam, 1970).

    Google Scholar 

  2. N. K. Nikolski, Treatise on the shift operator (Springer, Berlin, 1986).

    Book  Google Scholar 

  3. G. G. Amosov, A. D. Baranov, and V. V. Kapustin, ‘‘Perturbations of the isometric semigroup of shifts on the half-axis,’’ SPb. Math. J. 22, 515–528 (2011); arXiv:1209.3434.

    MathSciNet  MATH  Google Scholar 

  4. G. G. Amosov, A. D. Baranov, and V. V. Kapustin, ‘‘On applications of the model spaces to the construction of cocyclic perturbations of the semigroup of shifts on the semiaxis,’’ Ufa Math. J. 4, 16–26 (2012); arXiv:1209.3435.

  5. A. D. Baranov and D. V. Yakubovich, ‘‘One-dimensional perturbations of unbounded self-adjoint operators with empty spectrum,’’ J. Math. Anal. Appl. 2, 1404–1424 (2015).

    Article  Google Scholar 

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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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  • DOI: https://doi.org/10.1134/S1995080220120057

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