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

P. Gibilisco; Frank Hansen; T. Isola

doi:10.1016/j.laa.2008.11.022

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

P. Gibilisco, Frank Hansen, T. Isola

Økonomisk Institut

18 Citationer (Scopus)

Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Linear Algebra and Its Applications
Vol/bind	430
Udgave nummer	8-9
Sider (fra-til)	2225-2232
Antal sider	8
ISSN	0024-3795
DOI	https://doi.org/10.1016/j.laa.2008.11.022
Status	Udgivet - 2009

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10.1016/j.laa.2008.11.022

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AU - Gibilisco, P.

AU - Hansen, Frank

AU - Isola, T.

PY - 2009

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N2 - 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.

AB - 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.

KW - Faculty of Health and Medical Sciences

KW - operator monotone function

U2 - 10.1016/j.laa.2008.11.022

DO - 10.1016/j.laa.2008.11.022

M3 - Journal article

SN - 0024-3795

VL - 430

SP - 2225

EP - 2232

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 8-9

ER -

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

Abstract

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