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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 524, Pages 133–165 (Mi znsl7361)  
This article is cited in 1 scientific paper (total in 1 paper)

Linear operators preserving column majorization of $(0, 1)$-vectors

P. M. Shteyner

Bar-Ilan University, Ramat Gan
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Abstract: The paper provides a characterization of linear operators preserving column majorization of $(0, 1)$-vectors. In addition, such operators are characterized explicitly in the case where they are given by special matrices, namely, $(\pm 1)$-matrices of order not exceeding $10$ or $(0, \pm 1)$-matrices of order not exceeding $5$. A number of related combinatorial-matrix-theory results are also proved.
Key words and phrases: vector majorization, column majorization, $(0, 1)$-vectors, linear preservers, combinatorial matrix theory.
Received: 12.10.2023
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 281, Issue 2, Pages 312–333
DOI: https://doi.org/10.1007/s10958-024-07104-1
Document Type: Article
UDC: 512.643
Language: Russian
Citation: P. M. Shteyner, “Linear operators preserving column majorization of $(0, 1)$-vectors”, Computational methods and algorithms. Part XXXVI, Zap. Nauchn. Sem. POMI, 524, POMI, St. Petersburg, 2023, 133–165; J. Math. Sci. (N. Y.), 281:2 (2024), 312–333
Citation in format AMSBIB
\Bibitem{Sht23}
\by P.~M.~Shteyner
\paper Linear operators preserving column majorization of $(0, 1)$-vectors
\inbook Computational methods and algorithms. Part~XXXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 524
\pages 133--165
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7361}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2024
\vol 281
\issue 2
\pages 312--333
\crossref{https://doi.org/10.1007/s10958-024-07104-1}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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