85
Views
1
CrossRef citations to date
0
Altmetric
Articles

Submajorization inequalities for matrices of τ-measurable operators

&
Pages 3159-3170 | Received 17 Jan 2020, Accepted 22 Sep 2020, Published online: 05 Oct 2020

References

  • Rotfel'd SJ. The singular values of a sum of completely continuous operators. Top Math Phys. 1969;3:73–78.
  • McCarthy ChA. Cp. Israel J Math. 1967;5:249–271. doi: 10.1007/BF02771613
  • Ando T, Zhan X. Norm inequalities related to operator monotone functions. Math Ann. 1999;315(4):771–780. doi: 10.1007/s002080050335
  • Bourin J-C, Uchiyama M. A matrix subadditivity inequality for f(A+B) and f(A)+f(B). 2007;423:512–518.
  • Bhatia R. Matrix analysis. New York: Springer; 1997; (Graduate Texts in Mathematics; 169).
  • Bourin J-C. A matrix subadditivity inequality for symmetric norms. Proc Amer Math Soc. 2010;138:495–504. doi: 10.1090/S0002-9939-09-10103-X
  • Dodds PG, Sukochev FA. Submajorisation inequalities for convex and concave functions of sums of measurable operators. Positivity. 2009;13(1):107–124. doi: 10.1007/s11117-008-2206-y
  • Fack T, Kosaki H. Generalized s-numbers of τ-measurable operators. Pacific J Math. 1986;123:269–300. doi: 10.2140/pjm.1986.123.269
  • Farenick DR, Manjegani SM. Young's inequalities in operator algebras. J Ramanujan Math Soc. 2005;20(2):107–124.
  • Lord S, Sukochev FA, Zanin D. Singular traces: theory and applications. Berlin: De Gruyter; 2013; (De Gruyter Studies in Mathematics; 46).
  • Pisier G, Xu Q. Noncommutative Lp" role="presentation" style="position: relative;">LpL^p-spaces. In: Handbook of the geometry of Banach spaces. Vol. 2(edited by W.B. Johnson and J. Lindenstrauss ). Amsterdam:North-Holland; 2003. p. 1459–1517.
  • Bhatia R, Choi MD, Davis C. Comparing a matrix to its off-diagonal part. Oper Theory Adv Appl. 1989;40:151–163.
  • Dodds PG, Dodds TK. On a submajorization inequality of T. Ando. Oper Theory Adv Appl. 1995;75:113–131.
  • Han Y. Submajorization and p-norm inequalities associated with τ-measurable operators. Linear Multilinear Algebra. 2017;65(11):2199–2211. doi: 10.1080/03081087.2016.1265481
  • Lee E-Y. How to compare the absolute values of operator sums and the sums of absolute values? Oper Matrices. 2012;6(3):613–619. doi: 10.7153/oam-06-42
  • Brown LG, Kosaki H. Jensens inequality in semi-finite von Neumann algebras. J Oper Theory. 1990;23:3–19.
  • Dodds PG, Dodds TK, de Pager B. Noncommutative Köthe duality. Trans Amer Math Soc. 1993;339:717–750.
  • Tikhonov OE. Continuity of operator functions in topologies connected to a trace on a von Neumann algebra. Izv Vyssh Uchebn Zaved Mat. 1987;31(1):77–79. Soviet Math (Iz VUZ). 1987;31(1):110–114.

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.