Skip to content


  • Research Article
  • Open Access

Linear Maps which Preserve or Strongly Preserve Weak Majorization

Journal of Inequalities and Applications20082007:082910

  • Received: 8 July 2007
  • Accepted: 5 November 2007
  • Published:


For , we say is weakly submajorized (weakly supermajorized) by , and write , if , where denotes the th component of the vector whose components are a decreasing (increasing) rearrangment of the components of . We characterize the linear maps that preserve (strongly preserve) one of the majorizations or .


  • Full Article
  • Publisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran