HEINZ E.Beitrage zur Storungstheorie der Spektralzerlegung[J].Mathematische Annalen,1951,123(1):415-438.

BHATIA R,DAVIS C.More matrix forms of the arithmetric-geometric mean inequality[J].SIAM Journal on Matrix Analysis and Applications,1993,14(1):132-136.

ZHAN X.Inequalities for unitarily invariant norms[J].SIAM Journal on Matrix Analysis and Applications,1999,20(2):466-470.

KOSAKI H.A certain generaization of the Heinz inequality for positive operators[J].International Journal of Mathematics,2016,27(2):1-17.

DODDS P G,DODDS T K,SUKOCHEV F A,et al.Arithmetic-Geometric mean and related submajorisation and norm inequalities forτ-measurable operator:Part II[J].Integral Equations and Operator Theory,2020,92(4):1-60.

JIANG X Y,HAN Y Z.Some logarithmic submajorisation inequalities related to Heinz mean[J].Journal of Xinjiang University(Natural Science Edition in Chinese and English),2021,38(4):397-406+424.

PISIER G,XU Q.Non-commutativeLp-spaces[J].Handbook of the Geometry of Banach Spaces,2003,2(1):1459-1517.

DE PAGTER B,WITVLIET H.Double operator integrals[J].Journal of Functional Analysis,2002,192(1):52-111.

HINRICH A,VYB′IRAL J.On positive positive-definite functions and Bochner’s theorem[J].Journal of Complexity,2011,27(4):264-272.

KOSAKI H.Positie definiteness of functions with applications to operator norm inequalities[J].Memoirs of the American Mathematical Society,2011,212(997):1-79.

KAPIL Y,PAL R,AGGARWAL A,et al.Conditionally negative definite functions[J].Mediterranean Journal of Mathematics,2018,15(5):1-12.

SCHILLING R,SONG R,VONDRACEK Z.Bernstein functions:theory and applications[M].Boston:De Gruyter,2010.