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Linear Maps which Preserve or Strongly Preserve Weak Majorization
Journal of Inequalities and Applications volume 2007, Article number: 082910 (2008)
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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Hasani, A.M., Vali, M.A. Linear Maps which Preserve or Strongly Preserve Weak Majorization. J Inequal Appl 2007, 082910 (2008). https://doi.org/10.1155/2007/82910
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DOI: https://doi.org/10.1155/2007/82910