@article{oai:nagoya.repo.nii.ac.jp:00028442, author = {Hiai, Fumio and Ueda, Yoshimichi}, issue = {1}, journal = {Annales de l'Institut Henri Poincaré, Probabilités et Statistiques}, month = {}, note = {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.}, pages = {239--249}, title = {A log-Sobolev type inequality for free entropy of two projections}, volume = {45}, year = {2009} }