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Linear Maps which Preserve or Strongly Preserve Weak Majorization


For, we say is weakly submajorized (weakly supermajorized) by, and write, if, where denotes theth 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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Correspondence to Ahmad Mohammad Hasani.

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Hasani, A.M., Vali, M.A. Linear Maps which Preserve or Strongly Preserve Weak Majorization. J Inequal Appl 2007, 082910 (2008).

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