2003•Tokyo Journal of MathematicsOpen access

Subordination of Semidynamical Systems

Mounir Bezzarga, Nedra Belhaj Rhouma

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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.

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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.

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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.

Key concepts: Multiplicative function, Semigroup, Mathematics, Subordination (linguistics), Characterization (materials science), Space (punctuation), Pure mathematics, Discrete mathematics

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