Skip to main content

Hypercontractivité pour les fermions, d'après Carlen-Lieb

  • Conference paper
  • First Online:
Séminaire de Probabilités XXVII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1557))

  • 417 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 52.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Références

  1. P.J. Bushell et G.B. Trustrum. Trace inequalities for positive definite power products, Linear Alg. Appl. 132, 1990, 173–178.

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  3. J. Dixmier. Formes linéaires sur un anneau d'opérateurs, Bull. Soc. Math. France, 81, 1953, 222–245.

    MathSciNet  MATH  Google Scholar 

  4. L. Gross. Existence and uniqueness of physical ground states, J. Funct. Anal. 10, 1972, 52–109.

    Article  MathSciNet  MATH  Google Scholar 

  5. L. Gross. Hypercontractivity and logarithmic Sobolev inequalities for the Clifford-Dirichlet form, Duke Math. J. 42, 1975, 383–396.

    Article  MathSciNet  MATH  Google Scholar 

  6. Y.Z. Hu. Calculs formels sur les E.D.S. de Stratonovitch, Sém. Prob. XXIV, LNM 1426, Springer, 1990, 453–460.

    MathSciNet  MATH  Google Scholar 

  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.

    Google Scholar 

  8. M. Lindsay. Gaussian hypercontractivity revisited, J. Funct. Anal., 92, 1990, 313–324.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Lindsay et P.A. Meyer. Fermion hypercontractivity, Quantum Probability VII, World Scientific 1992, à paraître.

    Google Scholar 

  10. P.A. Meyer. Eléments de probabilités quantiques, exposés I-V, Sém. Prob. XX, Springer LNM 1204, 1986, 186–312.

    Google Scholar 

  11. P.A. Meyer. Quantum Probability for Probabilists, Lecture Notes in Math. 1538, 1993.

    Google Scholar 

  12. I.E. Segal. A noncommutative extension of abstract integration, Ann. of M. 57 (1953), 401–457.

    Article  MATH  Google Scholar 

  13. I. Wilde. Hypercontractivity for fermions, J. Math. Phys. 14 (1973), 791–792.

    Article  MathSciNet  Google Scholar 

  14. F.J. Yeadon. Noncommutative L p-spaces, Proc. Cambridge Philos. Soc. 77 (1975), 91–102.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag

About this paper

Cite this paper

Yaozhong, H. (1993). Hypercontractivité pour les fermions, d'après Carlen-Lieb. In: Séminaire de Probabilités XXVII. Lecture Notes in Mathematics, vol 1557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087966

Download citation

  • DOI: https://doi.org/10.1007/BFb0087966

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57282-4

  • Online ISBN: 978-3-540-48034-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics