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Zbl 1244.47019
Fujii, M.
Furuta inequality and its related topics. (English)
[J] Ann. Funct. Anal. AFA 1, No. 2, 28-45, electronic only (2010). ISSN 2008-8752/e

This is a survey on Furuta inequalities. The author gathers most results on this type of inequalities, among which we find the Löwner-Heinz, Furuta, the Ando-Hiai and the grand Furuta inequalities. In the last section, the author considers a Furuta inequality under a chaotic order involving operator logarithms.
[Mohammed Hichem Mortad (Oran)]
MSC 2000:
*47A63 Operator inequalities, etc.
47A64 Operator means etc.
47-02 Research monographs (operator theory)

Keywords: Löwner-Heinz inequality; Furuta inequality; Ando-Hiai inequality; grand Furuta inequality; chaotic order; operator geometric mean

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