Pfaffians, hafnians and products of real linear functionals
Péter E. Frenkel · Mathematical Research Letters · 2008
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).