Skip to main content
Log in

Unitary Flows with Tensor Simple Spectrum

  • Research Articles
  • Published:
Functional Analysis and Its Applications Aims and scope

Abstract

Unitary flows \(T_t\) of dynamical origin such that, for any countable \(Q\subset (0,+\infty)\), the spectrum of the tensor product \(\bigotimes_{q\in Q} T_q \) is simple are constructed. All typical flows preserving a sigma-finite measure have this property.

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

Access this article

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

Instant access to the full article PDF.

References

  1. O. Ageev, Invent. Math., 160:2 (2005), 417–446.

    Article  MathSciNet  Google Scholar 

  2. E. Glasner, J.-P. Thouvenot, and B. Weiss, Proceedings Mosk. Mat. O-va, 82:1 (2021), 19–44.

    Google Scholar 

  3. I. V. Klimov, Mat. Zametki, 104:6 (2018), 942–944; English transl.: Math. Notes, 104:6 (2018), 927–929.

    Article  Google Scholar 

  4. I. P. Cornfeld, S. V. Fomin, and Y. G. Sinai, Ergodic Theory, Springer, New York, 1982.

    Book  MATH  Google Scholar 

  5. M. S. Lobanov and V. V. Ryzhikov, Mat. Sb., 209:5 (2018), 62–73; Sb. Math., 209:5 (2018), 660–671.

    Article  MathSciNet  Google Scholar 

  6. S. V. Tikhonov, Mat. Sb., 197:1 (2006), 97–132; English transl.: Sb. Math., 197:1 (2006), 95–126.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Ryzhikov.

Additional information

Translated from Funktsional'nyi Analiz i ego Prilozheniya, 2022, Vol. 56, pp. 113–117 https://doi.org/10.4213/faa4011.

Translated by O. V. Sipacheva

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ryzhikov, V.V. Unitary Flows with Tensor Simple Spectrum. Funct Anal Its Appl 56, 327–330 (2022). https://doi.org/10.1134/S0016266322040116

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0016266322040116

Keywords

Navigation