Operator inequalities related to weak 2-positivity
arXiv:1211.2337
Abstract
In this paper we introduce the notion of weak 2-positivity and present some examples. We establish some operator Cauchy--Schwarz inequalities involving the geometric mean and give some applications. In particular, we present some operator versions of Hua's inequality by using the Choi--Davis--Jensen inequality.
9 pages, to appear in J. Math. Inequal. (JMI)