- Research Article
- Open Access
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 .
To access the full article, please see PDF.
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.