1. Araki, H.: Relative entropy of states of von Neumann algebras. Publ. Res. Inst. Math. Sci. 11, 809–833 (1976)
2. Araki, H.: Relative entropy for states of von Neumann algebras II. Publ. Res. Inst. Math. Sci. 13, 173–192 (1977)
3. Bhatia, R.: Matrix Analysis. Springer, New York (1996)
4. Franz, U., Hiai, F., Ricard, É.: Higher order extension of Löwner’s theory: Operator k-tone functions. Trans. Am. Math. Soc. 366, 3043–3074 (2014)
5. Hiai, F.: Matrix analysis: matrix monotone functions, matrix means, and majorization. Interdiscipl. Inf. Sci. 16, 139–248 (2010)