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Linear Maps which Preserve or Strongly Preserve Weak Majorization

Abstract

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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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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

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