260
Views
8
CrossRef citations to date
0
Altmetric
Articles

Interpolating inequalities related to a recent result of Audenaert

&
Pages 922-929 | Received 14 May 2016, Accepted 19 Jul 2016, Published online: 08 Aug 2016

References

  • Bhatia R. Matrix analysis. New York (NY): Springer-Verlag; 1997.
  • Li C-K, Mathias R. Generalizations of Ky Fan’s dominance theorem. SIAM J. Matrix Anal. Appl. 1998;19:99–106.
  • Zhan X. Matrix inequalities. Berlin: Springer-Verlag; 2002.
  • Bhatia R, Kittaneh F. On the singular values of a product of operators. SIAM J. Matrix Anal. Appl. 1990;11:272–277.
  • Bhatia R, Davis C. More matrix forms of the arithmetic-geometric mean inequality. SIAM J. Matrix Anal. Appl. 1993;14:132–136.
  • Kittaneh F. A note on the arithmetic-geometric mean inequality for matrices. Linear Algebra Appl. 1992;171:1–8.
  • Albadawi H. Singular value and arithmetic-geometric mean inequalities for operators. Ann. Funct. Anal. 2012;3:10–18.
  • Bhatia R, Davis C. A Cauchy--Schwarz inequality for operators with applications. Linear Algebra Appl. 1995;223-224:119–129.
  • Horn RA, Mathias R. Cauchy--Schwarz inequalities associated with positive semidefinite matrices. Linear Algebra Appl. 1990;142:63–82.
  • Audenaert KMR. Interpolating between the arithmetic-geometric mean and Cauchy--Schwarz matrix norm inequalities. Oper. Matrices. 2015;9:475–479.
  • Lin M. Remarks on two recent results of Audenaert. Linear Algebra Appl. 2016;489:24–29.
  • Zou L, Jiang Y. A note on interpolation between the arithmetic-geometric mean and Cauchy--Schwarz matrix norm inequalities. J. Math. Inequal. Forthcoming.
  • Hirzallah O, Kittaneh F. Matrix Young inequalities for the Hilbert--Schmidt norm. Linear Algebra Appl. 2000;308:77–84.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.