A log-Sobolev type inequality for free entropy of two projections
Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009) no. 1, pp. 239-249.

Nous prouvons un genre d'inégalité de Sobolev logarithmique qui montre que l'information de Fisher libre domine l'entropie de micro-états libre adaptée aux projections dans le cas de deux projections.

We prove a kind of logarithmic Sobolev inequality claiming that the mutual free Fisher information dominates the microstate free entropy adapted to projections in the case of two projections.

DOI : 10.1214/08-AIHP164
Classification : 46L54, 94A17, 60E15
Mots-clés : logarithmic Sobolev inequality, free entropy, mutual free Fisher information 
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Hiai, Fumio; Ueda, Yoshimichi. A log-Sobolev type inequality for free entropy of two projections. Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009) no. 1, pp. 239-249. doi : 10.1214/08-AIHP164. http://www.numdam.org/articles/10.1214/08-AIHP164/

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