Linear Maps which Preserve or Strongly Preserve Weak Majorization
© A. M. Hasani and M. A. Vali 2007
Received: 8 July 2007
Accepted: 5 November 2007
Published: 6 February 2008
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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