@article{SPS_1993__27__86_0,
author = {Hu, Yao-Zhong},
title = {Hypercontractivit\'e pour les fermions, d'apr\`es Carlen-Lieb},
journal = {S\'eminaire de probabilit\'es de Strasbourg},
volume = {27},
year = {1993},
pages = {86-96},
mrnumber = {1308555},
zbl = {0810.46072},
language = {en},
url = {http://dml.mathdoc.fr/item/SPS_1993__27__86_0}
}
Hu, Yao-Zhong. Hypercontractivité pour les fermions, d'après Carlen-Lieb. Séminaire de probabilités de Strasbourg, Tome 27 (1993) pp. 86-96. http://gdmltest.u-ga.fr/item/SPS_1993__27__86_0/
[1] et . Trace inequalities for positive definite power products, Linear Alg. Appl. 132, 1990, 173-178. | MR 1058100 | Zbl 0701.15015
[2] et . Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities, Preprint, 1992. | MR 1228524
[3] . Formes linéaires sur un anneau d'opérateurs, Bull. Soc. Math. France, 81, 1953, 222-245. | Numdam | MR 59485 | Zbl 0050.11501
[4] . Existence and uniqueness of physical ground states, J. Funct. Anal. 10, 1972, 52-109. | MR 339722 | Zbl 0237.47012
[5] . Hypercontractivity and logarithmic Sobolev inequalities for the Clifford-Dirichlet form, Duke Math. J., 42, 1975, 383-396. | MR 372613 | Zbl 0359.46038
[6] . Calculs formels sur les E.D.S. de Stratonovitch, Sém. Prob. XXIV, LNM 1426, Springer, 1990, 453-460. | Numdam | MR 1071561 | Zbl 0702.60055
[7] et . Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to Sobolev inequalities, Studies Math. Phys. in Honor of V. Bargmann, Princeton, N. J., 1976, 269-303. | Zbl 0342.35044
[8] . Gaussian hypercontractivity revisited, J. Funct. Anal., 92, 1990, 313-324. | MR 1069248 | Zbl 0713.46050
[9] et . Fermion hypercontractivity, Quantum Probability VII, World Scientific 1992, à paraître. | MR 1186665 | Zbl 0797.60090
[10] . Eléments de probabilités quantiques, exposés I-V, Sém. Prob. XX, Springer LNM 1204, 1986, 186-312. | Numdam | MR 942022 | Zbl 0604.60001
[11] . Quantum Probability for Probabilists, Lecture Notes in Math. 1538, 1993. | MR 1222649 | Zbl 0773.60098
[12] . A noncommutative extension of abstract integration, Ann. of M. 57 (1953), 401-457. | MR 54864 | Zbl 0051.34201
[13] . Hypercontractivity for fermions, J. Math. Phys. 14 (1973), 791-792. | MR 334768
[14] . Noncommutative Lp-spaces, Proc. Cambridge Philos. Soc. 77 (1975), 91-102. | Zbl 0327.46068