• Bulletin of the Korean Mathematical Society
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• v.58 no.1
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• pp.59-70
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• 2021

In this paper, we study two operator-valued inequalities for quantum Wigner-Yanase-Dyson skew information related to module operators. These are extended results of the trace inequalities for Wigner-Yanase-Dyson skew information. Moreover, we study a sufficient condition to prove an uncertainty relation for operator-valued generalized quantum Wigner-Yanase-Dyson skew information related to module operators and a pair of functions (f, g). Also, we obtain several previous results of scalar-valued cases as a consequence of our main result.

• Bulletin of the Korean Mathematical Society
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• v.54 no.1
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• pp.243-251
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• 2017

We get a $Schr{\ddot{o}}dinger$ uncertainty relation for the monotone triple skew information which was introduced by Yanagi and Kajihara. This information extends the monotone pair skew information as well as Wigner-Yanase-Dyson skew information.