Skip to main content
SpringerLink
Log in

Some Lemmata on the Perturbation of the Spectrum

  • Research Articles
  • Published:
Russian Journal of Mathematical Physics Aims and scope Submit manuscript

Abstract

We give some sufficient conditions for the preservation of the second term in the spectral asymptotics of a compact operator under the perturbation of the metrics in the Hilbert space.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. S. Birman and M. Z. Solomyak, “Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory,” In: Proceed. of X Summer Mathematical School. Yu.A. MitropolтАЩskiy and A.F. Shestopal (Eds), 114, (1980).

    MathSciNet  Google Scholar 

  2. M. S. Birman and M. Z. Solomyak, “Spectral Theory of Self-Adjoint Operators in Hilbert Space,” Mathematics and Its Applications. Soviet Series, 5, (1987).

    Google Scholar 

  3. A. I. Nazarov, “Spectral Asymptotics for a Class of Integro-Differential Equations Arising in the Theory of Fractional Gaussian Processes,” Preprint available at https://arxiv.org/pdf/1908.10299.pdf., (2019).

    ADS  Google Scholar 

Download references

Acknowledgments

The work was supported by the joint RFBR–DFG project 20-51-12004.

Author information

Authors and Affiliations

  1. St. Petersburg Department of Steklov Institute, St. Petersburg, Russia

    A. I. Nazarov

  2. St. Petersburg State University, St. Petersburg, Russia

    A. I. Nazarov

Authors
  1. A. I. Nazarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. I. Nazarov.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nazarov, A.I. Some Lemmata on the Perturbation of the Spectrum. Russ. J. Math. Phys. 27, 378–381 (2020). https://doi.org/10.1134/S1061920820030085

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061920820030085

Search

Navigation