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Uniform Estimates for Averages of Order Statistics of Matrices

Probability 2018-10-02 v1

Abstract

We prove uniform estimates for the expected value of averages of order statistics of matrices in terms of their largest entries. As an application, we obtain similar probabilistic estimates for p\ell_p norms via real interpolation.

Keywords

Cite

@article{arxiv.1411.6879,
  title  = {Uniform Estimates for Averages of Order Statistics of Matrices},
  author = {Richard Lechner and Markus Passenbrunner and Joscha Prochno},
  journal= {arXiv preprint arXiv:1411.6879},
  year   = {2018}
}