A log-Sobolev type inequality for free entropy of two projections
Hiai, Fumio ; Ueda, Yoshimichi
Ann. Inst. H. Poincaré Probab. Statist., Tome 45 (2009) no. 1, p. 239-249 / Harvested from Project Euclid
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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 : 2009-02-15
Classification:  Logarithmic Sobolev inequality,  Free entropy,  Mutual free Fisher information,  46L54,  94A17,  60E15 
@article{1234469980,
     author = {Hiai, Fumio and Ueda, Yoshimichi},
     title = {A log-Sobolev type inequality for free entropy of two projections},
     journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
     volume = {45},
     number = {1},
     year = {2009},
     pages = { 239-249},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1234469980}
}

Hiai, Fumio; Ueda, Yoshimichi. A log-Sobolev type inequality for free entropy of two projections. Ann. Inst. H. Poincaré Probab. Statist., Tome 45 (2009) no. 1, pp.  239-249. http://gdmltest.u-ga.fr/item/1234469980/