Skip to main content
Log in

Corrections and complements to my paper “On a class of operator monotone functions of several variables”

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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. K. Loewner, Math. Z. 38, 177 (1934).

    Article  MathSciNet  Google Scholar 

  2. C. Loewner, Bull. Amer. Math. Soc. 56, 308 (1950).

    Article  MathSciNet  Google Scholar 

  3. J. Bendat and S. Sherman, Trans. Amer. Math. Soc. 79, 58 (1955).

    Article  MathSciNet  Google Scholar 

  4. J. Agler, J. E. McCarthy, and N. J. Young, Ann. of Math. (2) 176 (3), 1783 (2012).

    Article  MathSciNet  Google Scholar 

  5. J. Agler, J. E. McCarthy, and N. J. Young, Ann. of Math. (2) 180 (1), 403 (2014).

    Article  MathSciNet  Google Scholar 

  6. J. Agler, J. E. McCarthy, and N. J. Young, Operator Monotone Functions and Löwner Functions of Several Variables, arXiv: 1009.3921 (2013).

    MATH  Google Scholar 

  7. A. Korányi, Trans. Amer. Math. Soc. 101 (3), 520 (1961).

    Article  MathSciNet  Google Scholar 

  8. M. Singh and H. L. Vasudeva, Linear Algebra Appl. 328 (1-3), 131 (2001).

    Article  MathSciNet  Google Scholar 

  9. F. Hansen, Math. Inequal. Appl. 6 (1), 1 (2003).

    MathSciNet  Google Scholar 

  10. A. R. Mirotin, Mat. Zametki 94 (1), 154 (2013) [Math. Notes 94 (1–2), 160 (2013)].

    Article  Google Scholar 

  11. A. R. Mirotin, Izv. Ross. Akad. Nauk Ser. Mat. 79 (6), 145 (2015) [Izv. Math. 79 (6), 1235 (2015)].

    Article  MathSciNet  Google Scholar 

  12. F. Riesz and B. Szökefalvi Nagy, Leçons d’analyse fonctionelle (Académiai Kiadó, Budapest, 1977; Mir, Moscow, 1979).

    Google Scholar 

  13. M. Sh. Birman and M. Z. Solomyak, Spectral Theory of Self-Adjoint Operators in Hilbert Space (Izd. Leningrad. Univ., Leningrad, 1980) [in Russian].

    MATH  Google Scholar 

  14. Z. Slodkowski and W. Zelazko, Studia Math. 50, 127 (1974).

    MathSciNet  Google Scholar 

  15. E. Beckenbach and R. Bellman, Introduction to Inequalities (Random House, New York–Toronto, 1961; Mir, Moscow, 1965).

    Book  MATH  Google Scholar 

  16. M. Rosenblum and J. Rovnyak, Hardy Classes and Operator Theory (Oxford Univ. Press, Oxford, 1985).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. R. Mirotin.

Additional information

Original Russian Text © A. R. Mirotin, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 6, pp. 944–948.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mirotin, A.R. Corrections and complements to my paper “On a class of operator monotone functions of several variables”. Math Notes 101, 1061–1065 (2017). https://doi.org/10.1134/S0001434617050340

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434617050340

Keywords

Navigation