A log-Sobolev type inequality for free entropy of two projections
Hiai, Fumio ; Ueda, Yoshimichi
Annales de l'I.H.P. Probabilités et statistiques, Tome 45 (2009), p. 239-249 / Harvested from Numdam
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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.

Publié le : 2009-01-01
DOI : https://doi.org/10.1214/08-AIHP164
Classification:  46L54,  94A17,  60E15 
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     author = {Hiai, Fumio and Ueda, Yoshimichi},
     title = {A log-Sobolev type inequality for free entropy of two projections},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {45},
     year = {2009},
     pages = {239-249},
     doi = {10.1214/08-AIHP164},
     mrnumber = {2500237},
     zbl = {1178.46066},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_2009__45_1_239_0}
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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) pp. 239-249. doi : 10.1214/08-AIHP164. http://gdmltest.u-ga.fr/item/AIHPB_2009__45_1_239_0/

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