An elementary proof of the existence of iteration groups consisting of additive bijections of the real line onto itself and containing nonlinear mappings is presented. An embeddability problem of that kind is also considered. These results are used to get a description of some semigroup automorphisms that are embeddable into an iteration group of automorphisms of the same semigroup.
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Vol. 13 (1999)
Published: 1999-09-30
10.1515/amsil
English