Geodesic
A Survey of Weak Majorization Relations on $\boldsymbol{{\ell^1(I)}^+}$ and Their Linear Preservers
Zbornik radova, Tome 20 (2022) no. 28, p. 343

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

A survey about the most important properties of extended three weak majorization relations $\prec_w$, $\prec_s$ and $\prec^{ws}$ determined by stochastic operators on the discrete Lebesgue space $\ell^1(I)$, is presented. In the second part, linear preservers of considered majorization relations, when $I$ is an infinite set, are characterized and many examples with concrete matrix forms of linear preservers are given.
Classification : NN-02, 47B60, 15B51, 60E15, 15A86, 39B62, 47B38
Keywords: weak majorization, submajorization, weak supermajorization, linear preserver, stochastic operators, permutation and partial permutation 
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Martin Z. Ljubenović; Dragan S. Djordjević. A Survey of Weak Majorization Relations on $\boldsymbol{{\ell^1(I)}^+}$ and Their Linear Preservers. Zbornik radova, Tome 20 (2022) no. 28, p. 343 . http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a8/