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Relatively bounded extensions of generator perturbations

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Publication:1024979
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DOI10.1216/RMJ-2009-39-3-947zbMath1181.47048MaRDI QIDQ1024979

Horst R. Thieme, Juergen Voigt

Publication date: 18 June 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

perturbation theorystrongly continuous semigroupHille-Yosida operatorMiyadera perturbationpositive perturbationrelative bound


Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Linear operators on ordered spaces (47B60) Integrated semigroups (47D62)


Related Items

Regularity properties of some perturbations of non-densely defined operators with applications



Cites Work

  • On the perturbation theory for strongly continuous semigroups
  • On resolvent positive operators and positive \(C_ 0\)-semigroups on AL- spaces
  • Perturbing semigroups by solving Stieltjes renewal equations
  • Multiplicative perturbations of \(C_ 0\)-semigroups and some applications to step responses and cumulative outputs
  • On perturbation theory for semi-groups of operators
  • One-Parameter Semigroups for Linear Evolution Equations
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