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arXiv · 1705.07042

Relative Entropy and Tsallis Entropy of two Accretive Operators

M. Raïssouli·M. S. Moslehian·S. Furuichi
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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.

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M. Raïssouli, M. S. Moslehian, S. Furuichi. 2017-05-19. Relative Entropy and Tsallis Entropy of two Accretive Operators. https://doi.org/10.1016/j.crma.2017.05.005

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