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arXiv · 1108.0142

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

Farid Bahrami·Ali Bayati·Mahmood Manjegani
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Abstract

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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Farid Bahrami, Ali Bayati, Mahmood Manjegani. 2011-07-31. Linear preservers of majorization on $\ell^p(I)$. https://arxiv.org/abs/1108.0142

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