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Perturbations and Approximations

Part of the Applied Mathematical Sciences book series (AMS, volume 44)

Abstract

Let X be a Banach space and let A be the infinitesimal generator of a C 0 semigroup T(t) on X, satisfying || T(t)|| ≤ Me wt . If B is a bounded linear operator on X then A + B is the infinitesimal generator of a C0semigroup S(t) on X, satisfying ||S(t)||Me(w + M || B ||)t.

Keywords

Linear Operator Bounded Linear Operator Continuous Semigroup Infinitesimal Generator Analytic Semigroup 
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.

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Copyright information

© Springer-Verlag New York, Inc. 1983

Authors and Affiliations

  • A. Pazy
    • 1
  1. 1.Planning and Budgeting CommitteeCouncil for Higher EducationJerusalemIsrael

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