On a correspondence between regular and non-regular operator monotone functions

被引：27

作者：

Gibilisco, P. ^{[2
]}

Hansen, F. ^{[3
]}

Isola, T. ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma Tor Vergata, Dipartimento SEFEMEQ, Fac Econ, I-00133 Rome, Italy

[3] Univ Copenhagen, Dept Econ, DK-1455 Copenhagen K, Denmark

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 8-9期

关键词：

Operator monotone functions; Matrix means; Quantum Fisher information; SKEW INFORMATION; INEQUALITIES;

D O I：

10.1016/j.laa.2008.11.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of a bijection between the regular and the non-regular operator monotone functions satisfying a certain functional equation. As an application we give a new proof of the operator monotonicity of certain functions related to the Wigner-Yanase-Dyson skew information. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2225 / 2232

页数：8

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