Advances in Operator Theory
- Adv. Oper. Theory
- Volume 1, Number 2 (2016), 219-235.
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.
Adv. Oper. Theory, Volume 1, Number 2 (2016), 219-235.
Received: 26 October 2016
Accepted: 18 December 2016
First available in Project Euclid: 4 December 2017
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Fujii, Jun Ichi; Seo, Yuki. Tsallis relative operator entropy with negative parameters. Adv. Oper. Theory 1 (2016), no. 2, 219--235. doi:10.22034/aot.1610.1038. https://projecteuclid.org/euclid.aot/1512431398