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Linear Operators Preserving Column Majorization of the (0, 1)-Vectors

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The paper provides a characterization of linear operators preserving column majorization of the (0, 1)-vectors. In addition, such operators are characterized explicitly in the case where they are given by special matrices, namely, by (±1)-matrices of order not exceeding 10 or (0,±1)-matrices of order not exceeding 5. Several related combinatorial matrix theory results also are proved.

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Authors and Affiliations

  1. Bar-Ilan University, 5290002, Ramat Gan, Israel

    P. M. Shteyner

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

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 524, 2023, pp. 133–165.

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Shteyner, P.M. Linear Operators Preserving Column Majorization of the (0, 1)-Vectors. J Math Sci 281, 312–333 (2024). https://doi.org/10.1007/s10958-024-07104-1

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  • DOI: https://doi.org/10.1007/s10958-024-07104-1

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