1975
DOI: 10.1007/bf01609431
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On the perturbation of Gibbs semigroups

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.

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Cited by 15 publications
(29 citation statements)
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“…This result was obtained in [ABN2]. Since W L (β, ω, ω 0 ) is the uniform limit of a sequence of entire B 1 -valued functions, it follows via the Cauchy integral formula that W L (β, ω, ω 0 ) is also B 1 -entire in ω.…”
mentioning
confidence: 65%
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“…This result was obtained in [ABN2]. Since W L (β, ω, ω 0 ) is the uniform limit of a sequence of entire B 1 -valued functions, it follows via the Cauchy integral formula that W L (β, ω, ω 0 ) is also B 1 -entire in ω.…”
mentioning
confidence: 65%
“…Here we consider the regime in which the inverse temperature β := 1/(kT ) is positive and finite and the fugacity z = e βµ belongs to the unit complex disk. Such conditions were also used in [AC,ABN2,MMP]. But here we also allow any positive value of the cyclotron frequency ω := e/cB.…”
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confidence: 99%
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