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Journal of Inequalities and Applications
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Linear Maps which Preserve or Strongly Preserve Weak Majorization

Journal of Inequalities and Applications volume 2007, Article number: 082910 (2008) Cite this article

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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  1. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, 76169-14111, Iran

    Ahmad Mohammad Hasani & Mohammad Ali Vali

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  1. Ahmad Mohammad Hasani
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  2. Mohammad Ali Vali
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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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