Hypercontractivité pour les fermions, d'après Carlen-Lieb
Séminaire de probabilités de Strasbourg, Volume 27 (1993), p. 86-96
@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},
     publisher = {Springer - Lecture Notes in Mathematics},
     volume = {27},
     year = {1993},
     pages = {86-96},
     zbl = {0810.46072},
     mrnumber = {1308555},
     language = {en},
     url = {http://www.numdam.org/item/SPS_1993__27__86_0}
}
Hu, Yao-Zhong. Hypercontractivité pour les fermions, d'après Carlen-Lieb. Séminaire de probabilités de Strasbourg, Volume 27 (1993) pp. 86-96. http://www.numdam.org/item/SPS_1993__27__86_0/

[1] P.J. Bushell et G.B. Trustrum. Trace inequalities for positive definite power products, Linear Alg. Appl. 132, 1990, 173-178. | MR 1058100 | Zbl 0701.15015

[2] E.A. Carlen et E.H. Lieb. Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities, Preprint, 1992. | MR 1228524

[3] J. Dixmier. Formes linéaires sur un anneau d'opérateurs, Bull. Soc. Math. France, 81, 1953, 222-245. | Numdam | MR 59485 | Zbl 0050.11501

[4] L. Gross. Existence and uniqueness of physical ground states, J. Funct. Anal. 10, 1972, 52-109. | MR 339722 | Zbl 0237.47012

[5] L. Gross. Hypercontractivity and logarithmic Sobolev inequalities for the Clifford-Dirichlet form, Duke Math. J., 42, 1975, 383-396. | MR 372613 | Zbl 0359.46038

[6] Y.Z. Hu. 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] E.H. Lieb et W. Thirring. 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] M. Lindsay. Gaussian hypercontractivity revisited, J. Funct. Anal., 92, 1990, 313-324. | MR 1069248 | Zbl 0713.46050

[9] M. Lindsay et P.A. Meyer. Fermion hypercontractivity, Quantum Probability VII, World Scientific 1992, à paraître. | MR 1186665 | Zbl 0797.60090

[10] P.A. Meyer. Eléments de probabilités quantiques, exposés I-V, Sém. Prob. XX, Springer LNM 1204, 1986, 186-312. | Numdam | MR 942022 | Zbl 0604.60001

[11] P.A. Meyer. Quantum Probability for Probabilists, Lecture Notes in Math. 1538, 1993. | MR 1222649 | Zbl 0773.60098

[12] I.E. Segal. A noncommutative extension of abstract integration, Ann. of M. 57 (1953), 401-457. | MR 54864 | Zbl 0051.34201

[13] I. Wilde. Hypercontractivity for fermions, J. Math. Phys. 14 (1973), 791-792. | MR 334768

[14] F.J. Yeadon. Noncommutative Lp-spaces, Proc. Cambridge Philos. Soc. 77 (1975), 91-102. | Zbl 0327.46068