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Converting Column Majorization

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The paper characterizes linear operators converting column majorization into weak, directional, and strong majorizations. An example of a linear converter from weak, directional, and strong majorizations to column majorization preserving none of these majorizations is provided.

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Authors and Affiliations

  1. Department of Mathematics and Mechanics, Lomonosov Moscow State University, Moscow, Russia

    P. M. Shteyner

  2. Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia

    P. M. Shteyner

  3. Moscow Institute of Physics and Technology, Dolgoprudny, Russia

    P. M. Shteyner

Authors
  1. P. M. Shteyner
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Correspondence to P. M. Shteyner.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 496, 2020, pp. 195–215.

Translated by the author.

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Shteyner, P.M. Converting Column Majorization. J Math Sci 255, 340–352 (2021). https://doi.org/10.1007/s10958-021-05377-4

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  • DOI: https://doi.org/10.1007/s10958-021-05377-4

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