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

P. M. Shteyner

doi:10.1007/s10958-024-07104-1

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

P. M. Shteyner

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	312-333
Number of pages	22
Journal	Journal of Mathematical Sciences (United States)
Volume	281
Issue number	2
DOIs	https://doi.org/10.1007/s10958-024-07104-1
State	Published - May 2024

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© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

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

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