Semigroups and Perturbation Theory

  • Irving E. Segal
  • Ray A. Kunze
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 228)


A semigroup may be defined as a subset of a group which contains the unit and is closed under multiplication. But the only one to be considered in this chapter is that of all non-negative reals, as a subset of the group of all real numbers under addition. This is the basic case for extension to Lie semigroups, just as the theory of one-parameter groups is the basic case for extension to the representation theory of Lie groups.


Banach Space Regular Semigroup Semi Group Contraction Semigroup Strong Operator Topology 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1978

Authors and Affiliations

  • Irving E. Segal
    • 1
  • Ray A. Kunze
    • 2
  1. 1.Massachusetts Institute of TechnologyCambridgeUSA
  2. 2.University of California at IrvineIrvineUSA

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