Geodesic
Linear operators preserving and converting majorizations of $(0, 1)$-vectors
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXV, Tome 514 (2022), pp. 204-220

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The paper investigates and characterizes linear operators preserving weak majorization of $(0, 1)$-vectors and linear operators converting vector majorization of $(0, 1)$-vectors to weak majorization. 
@article{ZNSL_2022_514_a11,
     author = {P. M. Shteyner},
     title = {Linear operators preserving and converting majorizations of $(0, 1)$-vectors},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {204--220},
     publisher = {mathdoc},
     volume = {514},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_514_a11/}
}
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P. M. Shteyner. Linear operators preserving and converting majorizations of $(0, 1)$-vectors. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXV, Tome 514 (2022), pp. 204-220. http://geodesic.mathdoc.fr/item/ZNSL_2022_514_a11/