Operator inequalities related to weak 2-positivity
Functional Analysis
2014-11-04 v1 Operator Algebras
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.
Cite
@article{arxiv.1211.2337,
title = {Operator inequalities related to weak 2-positivity},
author = {Mohammad Sal Moslehian and Jun Ichi Fujii},
journal= {arXiv preprint arXiv:1211.2337},
year = {2014}
}
Comments
9 pages, to appear in J. Math. Inequal. (JMI)