2024-03-29T00:42:01Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00028442
2023-01-16T04:21:19Z
697:698:699
A log-Sobolev type inequality for free entropy of two projections
Hiai, Fumio
93076
Ueda, Yoshimichi
93077
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.
journal article
Institut Henri Poincaré
2009
application/pdf
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
1
45
239
249
0246-0203
https://nagoya.repo.nii.ac.jp/record/28442/files/euclid_aihp_1234469980.pdf
eng
https://doi.org/10.1214/08-AIHP164