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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {Martin Z. Ljubenovi\'c and Dragan S. Djordjevi\'c},
     title = {A {Survey} of {Weak} {Majorization} {Relations} on $\boldsymbol{{\ell^1(I)}^+}$ and {Their} {Linear} {Preservers}},
     journal = {Zbornik radova},
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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/