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


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


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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    Uhlenbrock, D.: J. Math. Phys.12, 2503 (1971)Google Scholar
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    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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