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

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

We prove that there is a bijection between the families of regular and non-regular operator monotone functions. As an application we give a new proof of the operator monotonicity of a certain class of functions related to Wigner-Yanase-Dyson skew information. 2000 Mathematics Subject Classification. Primary 62B10, 94A17; Secondary 46L30, 46L60.

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2009

ISSN: 0024-3795

DOI: 10.1016/j.laa.2008.11.022