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Semigroups and Perturbation Theory

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

Abstract

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.

Keywords

Banach Space Regular Semigroup Semi Group Contraction Semigroup Strong Operator Topology 
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 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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