Relative entropy and Tsallis entropy of two accretive operators

By M. Raïssouli, Mohammad Sal Moslehian, Shigeru Furuichi. 2017

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Abstract Let A and B be two accretive operators. We first introduce the weighted geometric mean of A and B together with some related properties. Afterwards, we define the relative entropy as well as the Tsallis entropy of A and B . The present definitions and their related results extend those already introduced in the literature for positive invertible operators.

Subfields: Applied Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/4b3da26a6d77b1f43bac80cba01492166633ab8c