The author proves an extension of T. Furuta
’s inequality [Proc. Am. Math. Soc. 101, No. 1, 85-88 (1987; Zbl 0721.47023
)] by using itself and obtains some results on log-majorization by using techniques due to T. Ando
and F. Hiai
[Linear Algebra Appl. 197-198, 113-131 (1994; Zbl 0793.15011
)] and this extension of the Furuta inequality.