Have a personal or library account? Click to login
Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces Cover

Operator Subadditivity of the 𝒟-Logarithmic Integral Transform for Positive Operators in Hilbert Spaces

Open Access
|May 2021

References

  1. [1] R. Bhatia, Matrix Analysis, Graduate Texts in Mathematics, 169, Springer-Verlag, New York, 1997.10.1007/978-1-4612-0653-8
  2. [2] S.S. Dragomir, Operator monotonicity of an integral transform of positive operators in Hilbert spaces with applications, Preprint RGMIA Res. Rep. Coll. 23 2020, Art. 65. Available at https://rgmia.org/papers/v23/v23a65.pdf.
  3. [3] J.I. Fujii and Y. Seo, On parametrized operator means dominated by power ones, Sci. Math. 1 1998, no. 3, 301–306.
  4. [4] T. Furuta, Concrete examples of operator monotone functions obtained by an elementary method without appealing to Löwner integral representation, Linear Algebra Appl. 429 2008, no. 5-6, 972–980.10.1016/j.laa.2006.11.023
  5. [5] T. Furuta, Precise lower bound of f(A)– f(B) for A > B > 0 and non-constant operator monotone function f on [0; ∞), J. Math. Inequal. 9 2015, no. 1, 47–52.10.7153/jmi-09-04
  6. [6] E. Heinz, Beiträge zur Störungstheorie der Spektralzerlegung, Math. Ann. 123 1951, 415–438.10.1007/BF02054965
  7. [7] K. Löwner, Über monotone Matrixfunktionen, Math. Z. 38 1934, no. 1, 177–216.10.1007/BF01170633
  8. [8] M.S. Moslehian and H. Najafi, An extension of the Löwner-Heinz inequality, Linear Algebra Appl. 437 2012, no. 9, 2359–2365.10.1016/j.laa.2012.05.027
  9. [9] H. Zuo and G. Duan, Some inequalities of operator monotone functions, J. Math. Inequal. 8 2014, no. 4, 777–781.10.7153/jmi-08-58
DOI: https://doi.org/10.2478/amsil-2021-0004 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 158 - 171
Submitted on: Oct 24, 2020
|
Accepted on: Apr 7, 2021
|
Published on: May 26, 2021
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2021 Silvestru Sever Dragomir, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.