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Autumn 2016 Tsallis relative operator entropy with negative parameters
Jun Ichi Fujii, Yuki Seo
Adv. Oper. Theory 1(2): 219-235 (Autumn 2016). DOI: 10.22034/aot.1610.1038

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.

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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

Information

Received: 26 October 2016; Accepted: 18 December 2016; Published: Autumn 2016
First available in Project Euclid: 4 December 2017

zbMATH: 1368.47017
MathSciNet: MR3723622
Digital Object Identifier: 10.22034/aot.1610.1038

Subjects:
Primary: 47A63
Secondary: 47A64

Keywords: operator geometric mean , positive operator , Tsallis relative operator entropy

Rights: Copyright © 2016 Tusi Mathematical Research Group

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Vol.1 • No. 2 • Autumn 2016
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