1302.0175 (Haili Zhao et al.)

Criteria of positivity for linear maps constructed from permutations    [PDF]

Haili Zhao, Jinchuan Hou

In this paper, some inequalities are obtained which generalize the cyclic inequalities and answer a conjecture affirmatively due to Yamagami. These inequalities are used to establish several criteria of positive $D$-type linear maps on matrix algebras generalized by two or more permutations.

View original: http://arxiv.org/abs/1302.0175