Pfaffians, Hafnians and Products of Real Linear Functionals

نویسندگان

  • Péter E. Frenkel
  • PÉTER FRENKEL
چکیده

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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تاریخ انتشار 2008