Kwong matrices and operator monotone functions on (0,1)
5(1) : 121-127
Article Type: Original Article
Abstract: In this paper we study positive operator monotone functions on (0,1) which have some differences from those on(0,∞): we show that for a concave operator monotone function f on (0,1), the Kwong matrices Kf(s1,…,sn)are positive semidefinite for all nn and si∈(0,1), and f(sp)1/p for p∈(0,1]and s/f(s) are operator monotone. We also give a sufficient condition for the Kwong matrices to be positive semidefinite.