Relative Entropy and Tsallis Entropy of two Accretive Operators

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.

7 pages, to appear in C. R. Math. Acad. Sci. Paris

References in corpus (1)

• A New Class of Operator Monotone Functions via Operator Means

Cited by in corpus (3)

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