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arXiv · 1211.2337

Operator inequalities related to weak 2-positivity

Mohammad Sal Moslehian·Jun Ichi Fujii
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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.

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Mohammad Sal Moslehian, Jun Ichi Fujii. 2012-11-10. Operator inequalities related to weak 2-positivity. https://arxiv.org/abs/1211.2337

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