Abstract
The main aim of this survey article is to present recent developments of matrix versions of the arithmetic–geometric mean inequality. Among others, we show improvements and generalizations of the arithmetic–geometric mean inequality for unitarily invariant norms via the Hadamard product, and for singular values via the operator monotone functions.
Citation
Jun Ichi Fujii. Masatoshi Fujii. Yuki Seo. Hongliang Zuo. "Recent developments of matrix versions of the arithmetic–geometric mean inequality." Ann. Funct. Anal. 7 (1) 102 - 117, February 2016. https://doi.org/10.1215/20088752-3429400
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