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Symposium Functional Analysis in Interdisciplinary Applications

FAIA 2017: Functional Analysis in Interdisciplinary Applications pp 213–221Cite as

Relatively Bounded Perturbations of Correct Restrictions and Extensions of Linear Operators

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 216))

Abstract

In this paper we study the spectral properties of relatively bounded correct perturbations of the correct restrictions and extensions. Method for constructing a class of correct perturbations, which spectra coincide with the spectrum of a fixed boundary correct extension , is obtained. Examples illustrating the application of the obtained results are given.

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References

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Acknowledgements

Research supported by the grant 0825/GF4 and by the target program 0085/PTSF-14 of the Ministry of Education and Science of Republic of Kazakhstan.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, 125 Pushkin Str., Almaty, 050010, Kazakhstan

    Bazarkan N. Biyarov

  2. L. N. Gumilyov Eurasian National University, 2 Satpayev Str., Astana, 010008, Kazakhstan

    Gulnara K. Abdrasheva

Authors
  1. Bazarkan N. Biyarov
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  2. Gulnara K. Abdrasheva
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Corresponding author

Correspondence to Bazarkan N. Biyarov .

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Editors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Tynysbek Sh. Kalmenov

  2. Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

    Erlan D. Nursultanov

  3. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

  4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Makhmud A. Sadybekov

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Biyarov, B.N., Abdrasheva, G.K. (2017). Relatively Bounded Perturbations of Correct Restrictions and Extensions of Linear Operators. In: Kalmenov, T., Nursultanov, E., Ruzhansky, M., Sadybekov, M. (eds) Functional Analysis in Interdisciplinary Applications. FAIA 2017. Springer Proceedings in Mathematics & Statistics, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-67053-9_20

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