Skip to main content
Journal of Inequalities and Applications
Download PDF

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.

Publisher note

To access the full article, please see PDF.

Author information

Affiliations

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

    Ahmad Mohammad Hasani & Mohammad Ali Vali

Authors
  1. Ahmad Mohammad Hasani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohammad Ali Vali
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ahmad Mohammad Hasani.

Rights and permissions

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.

Reprints and Permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/82910

Keywords

  • Full Article
  • Publisher Note