Abstract
Tsallis relative operator entropy was firstly formulated by Fujii and Kamei as an operator version of Uhlmann's relative entropy. Afterwards, Yanagi, Kuriyama and Furuichi reformulated Tsallis relative operator entropy as an operator version of Tsallis relative entropy. In this paper, we define Tsallis relative operator entropy with negative parameters of (non-invertible) positive operators on a Hilbert space and show some properties.
Citation
Jun Ichi Fujii. Yuki Seo. "Tsallis relative operator entropy with negative parameters." Adv. Oper. Theory 1 (2) 219 - 235, Autumn 2016. https://doi.org/10.22034/aot.1610.1038
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