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

Author:

Amosov G. G.,Baitenov E. L.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference5 articles.

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

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

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.

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).

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