The behavior of a discrete spectrum at a one-dimensional perturbation

Authors

  • A. N. Syrovatsky V. N. Karazin Kharkiv National University

DOI:

https://doi.org/10.15407/dopovidi2016.05.019

Keywords:

perturbation of operator, discrete spectrum, absolutely continuous spectrum

Abstract

The case of the overlay of a discrete part of the spectrum of a linear operator on an absolutely continuous part at a one-dimensional perturbation is studied.

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References

Syrvatsky A. N. Visnik Kharkiv. nats. un-tu im. V. N. Karazina. Mathematics, Applied Mathematics and

mechanics, 2010, No 922: 20–31 (in Russian).

Kato T. Perturbation theory for linear operators, Moscow: Mir, 1972 (in Russian).

Rozenblum M. Pacific J. Math., 1957, 7, No 1: 997–1010.

Nizhnik L. P. Methods Funct. Anal. Topol., 2001, 7, No 3: 54–66.

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Published

27.10.2024

How to Cite

Syrovatsky, A. N. (2024). The behavior of a discrete spectrum at a one-dimensional perturbation. Reports of the National Academy of Sciences of Ukraine, (5), 19–21. https://doi.org/10.15407/dopovidi2016.05.019

Issue

No. 5 (2016): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine

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