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Concavity of certain maps on positive definite matrices and applications to Hadamard products
- T. Andô
- Mathematics
- 1 August 1979
Norm inequalities related to operator monotone functions
- T. Andô, Xingzhi Zhan
- Mathematics
- 1 December 1999
Abstract. Let A,B be positive semidefinite matrices and
$|||\cdot|||$ any unitarily invariant norm on the space of matrices. We show
$ |||f(A) + f(B)||| \geq |||f(A + B)|||$ for any non-negative…
POSITIVE SELFADJOINT EXTENSIONS OF POSITIVE SYMMETRIC OPERATORS
- T. Andô, Katsuyoshi Nishio
- Mathematics
- 1970
Matrix Young Inequalities
- T. Andô
- Mathematics
- 1995
Let p, q > 0 satisfy 1/p + 1/q = 1. We prove that for any pair A, B of n × n complex matrices there is a unitary matrix U, depending on A, B, such that
$$U*\left| {AB*} \right|U \leqslant {\left|…
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