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arXiv · 0704.0028

Pfaffians, hafnians and products of real linear functionals

Péter E. Frenkel
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Abstract

We prove pfaffian and hafnian versions of Lieb's inequalities on determinants and permanents of positive semi-definite matrices. We use the hafnian inequality to improve the lower bound of Révész and Sarantopoulos on the norm of a product of linear functionals on a real Euclidean space (this subject is sometimes called the `real linear polarization constant' problem).

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Péter E. Frenkel. 2008-02-26. Pfaffians, hafnians and products of real linear functionals. https://arxiv.org/abs/0704.0028

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