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.
Gibilisco, P., Hansen, F., Isola, T. (2009). On a correspondence between regular and non-regular operator monotone functions. LINEAR ALGEBRA AND ITS APPLICATIONS, 430(8-9), 2225-2232 [10.1016/j.laa.2008.11.022].
On a correspondence between regular and non-regular operator monotone functions
GIBILISCO, PAOLO;Isola, T.
2009-01-01
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. (C) 2008 Elsevier Inc. All rights reserved.File in questo prodotto:
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