Operator inequalities related to weak 2-positivity
classification
🧮 math.FA
math.OA
keywords
someoperatorinequalitiesinequalitypositivityweakapplicationscauchy--schwarz
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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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