Semigroups and Perturbation Theory
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.
KeywordsBanach Space Regular Semigroup Semi Group Contraction Semigroup Strong Operator Topology
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