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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Segal, I.E., Kunze, R.A. (1978). Semigroups and Perturbation Theory. In: Integrals and Operators. Grundlehren der mathematischen Wissenschaften, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66693-3_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-66693-3_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-66695-7
Online ISBN: 978-3-642-66693-3
eBook Packages: Springer Book Archive