Linear preservers of majorization on $\ell^p(I)$

Details Linear preservers of majorization on $\ell^p(I)$ Linear preservers of majorization on $\ell^p(I)$

2011-07-31

arxiv.org/abs/1108.0142v1

Mathematics

Functional Analysis

Scientific paper

In this paper, using doubly stochastic operators, we have extended the notion
of majorization to the space $\ell^p(I)$, where $I$ is assumed to be an
infinite set, and then, in the case $p\in (1,+\infty)$, characterize the
structure of all bounded linear maps on this space which preserves
majorization.

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