Norm inequalities related to operator monotone functions |
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| Authors: | Tsuyoshi Ando Xingzhi Zhan |
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| Affiliation: | (1) Faculty of Economics, Hokusei Gakuen University, Sapporo 004-8631, Japan (e-mail: ando@hokusei.ac.jp) , JP;(2) Institute of Mathematics, Peking University, Beijing 100871, China (e-mail: zhan@sxx0.math.pku.edu.cn) , CN |
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| Abstract: | Let A,B be positive semidefinite matrices and any unitarily invariant norm on the space of matrices. We show for any non-negative operator monotone function f(t) on , and for non-negative increasing function g(t) on with g(0) = 0 and , whose inverse function is operator monotone. Received: 1 February 1999 |
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| Keywords: | Mathematics Subject Classification (1991):47A30 47B15 15A60 |
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