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Results tagged with majorization
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user 80819
0
votes
0
answers
36
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Majorization for vector valued function: looking for literature
Let $x,y\in R^{d}$. A function $f:R^{d}\to R$ is called Schur convex if
$$
x\prec y\;\;\rightarrow\;\;f(x)\leq f(y).
$$
I am interested in functions $g:R^{d}\to R^{d}$ such that
$$
x\prec y\;\;\rig …
- 329
1
vote
0
answers
43
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Linear maps that increase majorization order
Is there a characterization of the linear operators $T:R^{d}_{+}\to R^{d}_{+}$ such that:
$$
x\prec Tx
$$
for all probability distributions $x$, with $\prec$ the majorization order? Thanks Fabio …
- 329