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Communications in Mathematical Physics

, Volume 42, Issue 1, pp 29–30 | Cite as

On the perturbation of Gibbs semigroups

  • N. Angelescu
  • G. Nenciu
  • M. Bundaru
Article

Abstract

The trace-norm convergence of the Hille-Phillips perturbation series is proved for the whole perturbation class of the generator of a Gibbs semigroup.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Uhlenbrock, D.: J. Math. Phys.12, 2503 (1971)Google Scholar
  2. 2.
    Hille, E., Phillips, R.S.: Functional analysis and semigroups. Providence, R.I.: Amer. Math. Soc. 1957Google Scholar
  3. 3.
    Ginibre, J., Gruber, C.: Commun. math. Phys.11, 198 (1969)Google Scholar

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • N. Angelescu
    • 1
  • G. Nenciu
    • 1
  • M. Bundaru
    • 2
  1. 1.Institute for Atomic PhysicsBucharestRomania
  2. 2.Institute of PhysicsBucharestRomania

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