References
- Audenaert , KMR . 2011 . A characterisation of anti-Löwner functions . Proc. Am. Math. Soc. , 139 : 4217 – 4223 .
- Bapat , RB and Raghavan , TES . 1997 . Nonnegative Matrices and Applications , New York : Cambridge University Press .
- Bhatia , R . 1996 . Matrix Analysis , New York : Springer .
- Bhatia , R . 2007 . Positive Definite Matrices , Princeton, NJ : Princeton University Press .
- Bhatia , R and Kosaki , H . 2007 . Mean matrices and infinite divisibility . Linear Algebra Appl. , 424 : 36 – 54 .
- Bhatia , R and Parthasarathy , KR . 2000 . Positive definite functions and operator inequalities . Bull. London Math. Soc. , 32 : 214 – 228 .
- Bhatia , R and Sano , T . 2009 . Loewner matrices and operator convexity . Math. Ann. , 344 : 703 – 716 .
- Bhatia , R and Sano , T . 2010 . Positivity and conditional positivity of Loewner matrices . Positivity , 14 : 421 – 430 .
- Donoghue , WF . 1974 . Monotone Matrix Functions and Analytic Continuation , Berlin : Springer .
- Hiai , F and Sano , T . Loewner matrices of matrix convex and monotone functions . J. Math. Soc. Japan , (to appear)
- Horn , RA . 1971 . Schlicht mappings and infinitely divisible kernels . Pac. J. Math. , 38 : 423 – 430 .
- Horn , RA and Johnson , CR . 1991 . Topics in Matrix Analysis , New York : Cambridge University Press .
- Kwong , MK . 1989 . Some results on matrix monotone functions . Linear Algebra Appl. , 118 : 129 – 153 .
- Löwner , K . 1934 . Über monotone matrixfunctionen . Math. Z. , 38 : 177 – 216 .