Relative Entropy and Tsallis Entropy of two Accretive Operators

M. Raïssouli; M. S. Moslehian; S. Furuichi

doi:10.1016/j.crma.2017.05.005

Relative Entropy and Tsallis Entropy of two Accretive Operators

Functional Analysis 2021-07-23 v1 Operator Algebras

Authors: 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.

Keywords

accretive operators weighted geometric mean relative entropy Tsallis entropy positive invertible operators

Cite

@article{arxiv.1705.07042,
  title  = {Relative Entropy and Tsallis Entropy of two Accretive Operators},
  author = {M. Raïssouli and M. S. Moslehian and S. Furuichi},
  journal= {arXiv preprint arXiv:1705.07042},
  year   = {2021}
}

Comments

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

Relative Entropy and Tsallis Entropy of two Accretive Operators

Abstract

Keywords

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