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Generalization of a Hadamard type inequality for permanents

Classical Analysis and ODEs 2019-02-28 v2

Abstract

This paper is devoted to a generalization of a Hadamard type inequality for the permanent of a complex square matrix. Our proof is based on a non-trivial extension of a technique used in Carlen, Lieb and Loss (Methods and Applications of Analysis 13 (1) (2006) 1-17). We give an application to coefficients of products of linear forms and show some auxiliary inequalities, which might be of independent interest.

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Cite

@article{arxiv.1709.05225,
  title  = {Generalization of a Hadamard type inequality for permanents},
  author = {Bero Roos},
  journal= {arXiv preprint arXiv:1709.05225},
  year   = {2019}
}

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20 pages