Perturbation theory for semigroups of operators

  • Tosio Kato
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 132)


The subject of this chapter originates in the so-called time-dependent perturbation theory in quantum mechanics, in which the main question is the perturbation of the unitary group generated by a given Hamiltonian due to a small change in the latter. This problem is generalized in a natural way to perturbation theory for semigroups, which is no less important in applications.


Hilbert Space Perturbation Theory Integral Operator Strong Convergence Finite Interval 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1966

Authors and Affiliations

  • Tosio Kato
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

Personalised recommendations