172
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Singular linear preservers of majorization and cone type majorization

, &
Pages 2631-2644 | Received 04 Jan 2022, Accepted 18 Aug 2022, Published online: 05 Sep 2022

References

  • Hardy GH, Littlewood JE, Polya G. Inequalities. Cambridge: Cambridge University Press; 1934.
  • Bhatia R. Matrix analysis. New York: Springer-Verlag; 1997.
  • Arveson W, Kadison RV. Diagonals of self-adjoint operators. In: Contemporary mathematics, operator theory, operator algebras, and applications. Vol. 414. Providence (RI): American Mathematical Society; 2006. p. 247–263.
  • Canosa N, Rossignoli R, Portesi M. Majorization relations and disorder in generalized statistics. Phys A Stat Mech Appl. 2006;371(1):126–129.
  • Nielsen MA, Vidal G. Majorization and the interconversion of bipartite states. Quant Inform Comput. 2001;1(1):76–93.
  • Ando T. Linear preservers of even majorization of Mn,m. Linear Multilinear Algebra. 2014;62(11):1437–1449.
  • Marshall AW, Olkin I, Arnold BC. Inequalities: theory of majorization and its applications. 2nd ed. New York: Springer; 2011.
  • Nadoshan MAH, Armandnejad A. B-majorization and its linear preservers. Linear Algebra Appl. 2015;478:218–227.
  • Ando T. Majorization, doubly stochastic matrices and comparisons of eigenvalues. Linear Algebra Appl. 1989;118:163–248.
  • Kosuru GSR, Saha S. Cone type majorization and its strong linear preservers. Electron J Linear Algebra. 2020;36(36):511–518.
  • Ben-Israel A, Greville TNE. Generalized inverses–theory and applications. Vol. 15. New York: Springer-Verlag; 2003.
  • Stanimirovic PS, Djordjevic D. Full rank and determinantal representation of the Drazin inverse. Linear Algebra Appl. 2000;311(1–3):131–151.

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.