85
Views
4
CrossRef citations to date
0
Altmetric
Articles

Generalizations of refined Young inequalities and reverse inequalities for τ-measurable operators

Pages 2099-2109 | Received 14 Sep 2018, Accepted 13 Jan 2019, Published online: 25 Jan 2019

References

  • Choi D. A generalization of Young-type inequalities. Math Inequal Appl. 2018;21:99–106.
  • Manasrah Y, Kittaneh F. A generalization of two refined Young inequalities. Positivity. 2015;19:757–768. doi: 10.1007/s11117-015-0326-8
  • Shao J, Han Y. On reverse inequalities of Young and Heinz inequalities for τ-measurable operator. Acta Math Sci. 2015;35A:710–718.
  • Fuglede B, Kadison RV. On determinants and a property of the trace in finite factors. Proc Nat Acad Sci. 1951;37:425–431. doi: 10.1073/pnas.37.7.425
  • Fuglede B, Kadison RV. Determinant theory in finite factors. Ann Math. 1952;55:520–530. doi: 10.2307/1969645
  • Furuichi S. On refined Young inequalities and reverse inequalities. J Math Inequal. 2011;5:21–31. doi: 10.7153/jmi-05-03
  • Takesaki M. Theory of operator algebras. vol. 1. New York: Springer-Verlag; 1979.
  • Fack T, Kosaki H. Generalized s-numbers of τ-measurable Operators. Pac J Math. 1986;123:269–300. doi: 10.2140/pjm.1986.123.269
  • Pisier G, Xu Q. Noncommutative Lp spaces. In: Handbook of the geometry of banach spaces. vol. 2; 2003. p. 1459–1517.
  • Han Y. Some determinant inequalities for operators. Linear Multilinear Algebra. 2017;67:1–12.
  • Zhou J, Wang Y, Wu T. A Schwarz inequality for τ-measurable operator A∗XB∗. J Xinjiang Univ Natur Sci. 2009;1:69–73.
  • Fujii JI, Izumino S, Seo Y. Determinant for positive operators and Specht's theorem. Sci Math Japon. 1998;1:307–310.
  • Kittaneh F, Manasrah Y. Improved Young and Heinz inequalities for matrices. J Math Anal Appl. 2010;361:262–269. doi: 10.1016/j.jmaa.2009.08.059
  • Tominaga M. Spechts ratio in the Young inequality. Sci Math Japon. 2002;55:583–588.

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.