Seo, Y., Fujii, J. (2016). Tsallis relative operator entropy with negative parameters. Advances in Operator Theory, 1(2), 219-235. doi: 10.22034/aot.1610.1038
Yuki Seo; Jun Ichi Fujii. "Tsallis relative operator entropy with negative parameters". Advances in Operator Theory, 1, 2, 2016, 219-235. doi: 10.22034/aot.1610.1038
Seo, Y., Fujii, J. (2016). 'Tsallis relative operator entropy with negative parameters', Advances in Operator Theory, 1(2), pp. 219-235. doi: 10.22034/aot.1610.1038
Seo, Y., Fujii, J. Tsallis relative operator entropy with negative parameters. Advances in Operator Theory, 2016; 1(2): 219-235. doi: 10.22034/aot.1610.1038
Tsallis relative operator entropy with negative parameters
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.