Operator extensions of Hua's inequality

Details Operator extensions of Hua's inequality Operator extensions of Hua's inequality

2008-10-10

arxiv.org/abs/0810.1921v1

Linear Alg. Appl. 430 (2009) 1131-1139

Mathematics

Operator Algebras

12 Pages, To appear in Linear Alg. Appl. (LAA)

Scientific paper

We give an extension of Hua's inequality in pre-Hilbert $C^*$-modules without using convexity or the classical Hua's inequality. As a consequence, some known and new generalizations of this inequality are deduced. Providing a Jensen inequality in the content of Hilbert $C^*$-modules, another extension of Hua's inequality is obtained. We also present an operator Hua's inequality, which is equivalent to operator convexity of given continuous real function.

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