%0 Journal Article
%T Tsallis relative operator entropy with negative parameters
%J Advances in Operator Theory
%I Tusi Mathematical Research Group (TMRG)
%Z 2538-225X
%A Seo, Yuki
%A Fujii, Jun Ichi
%D 2016
%\ 12/01/2016
%V 1
%N 2
%P 219-235
%! Tsallis relative operator entropy with negative parameters
%K Tsallis relative operator entropy
%K positive operator
%K operator geometric mean
%R 10.22034/aot.1610.1038
%X 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.
%U http://www.aot-math.org/article_40901_63038f18f801ee19f7cb34323ff53c12.pdf