Abstract
We develop the fundamental properties of multiplicative functional $\mathcal{M}$ defined on a semidynamical system $(X,\mathcal{B},\Phi,w)$. We give a characterization of semigroups which are subordinate to the deterministic semigroup $\mathbb{H}$ and we show that they are generated by a multiplicative functional. We study the case when a multiplicative semigroup defined on a measurable space $(X,\mathcal{B})$ is deterministic.
Citation
Mounir BEZZARGA. Nedra Belhaj RHOUMA. "Subordination of Semidynamical Systems." Tokyo J. Math. 26 (2) 471 - 484, December 2003. https://doi.org/10.3836/tjm/1244208602
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