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• W2027091530 endingPage "31" @default.
• W2027091530 startingPage "19" @default.
• W2027091530 abstract "Tsallis relative operator entropy was defined as a parametric extension of relative operator entropy and the generalized Shannon inequalities were shown in the previous paper. After the review of some fundamental properties of Tsallis relative operator entropy, some operator inequalities related to Tsallis relative operator entropy are shown in the present paper. Our inequalities give the upper and lower bounds of Tsallis relative operator entropy. The operator equality on Tsallis relative operator entropy is also shown by considering the tensor product. This relation generalizes the pseudoadditivity for Tsallis entropy. As a corollary of our operator equality derived from the tensor product manipulation, we show several operator inequalities including the superadditivity and the subadditivity for Tsallis relative operator entropy. Our results are generalizations of the superadditivity and the subadditivity for Tsallis entropy." @default.
• W2027091530 created "2016-06-24" @default.
• W2027091530 creator A5016476410 @default.
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• W2027091530 date "2005-09-01" @default.
• W2027091530 modified "2023-09-27" @default.
• W2027091530 title "A note on operator inequalities of Tsallis relative operator entropy" @default.
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• W2027091530 doi "https://doi.org/10.1016/j.laa.2005.04.015" @default.
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