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  • Research Article
  • Open Access

Linear Maps which Preserve or Strongly Preserve Weak Majorization

Journal of Inequalities and Applications20082007:082910

https://doi.org/10.1155/2007/82910

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

Abstract

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 .

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Authors’ Affiliations

(1)
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran

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