On the Existence of Transitive and Topologically Mixing Semigroups
Conejero, José A.
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 463-471 / Harvested from Project Euclid
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We prove in this note that every separable infinite dimensional complex Fréchet space different from $\omega$, the countably infinite product of lines, admits a topologically mixing analytic uniformly continuous semigroup of operators. The study of the existence of transitive semigroups on $\omega$, and on its predual $\varphi$ is also considered.
Publié le : 2007-09-14
Classification:  Transitive Semigroup,  Hypercyclic Semigroup,  Topologically Mixing Semigroup,  Analytic Semigroup,  47A16,  47D03 
@article{1190994207,
     author = {Conejero, Jos\'e A.},
     title = {On the Existence of Transitive and Topologically Mixing Semigroups},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 463-471},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190994207}
}

Conejero, José A. On the Existence of Transitive and Topologically Mixing Semigroups. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  463-471. http://gdmltest.u-ga.fr/item/1190994207/