Published 2011-03-20
Keywords
- strong continuity,
- invariant measures,
- semidynamical systems,
- ergodic properties,
- Semigroups of Fröbenius-Perron operators
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How to Cite
Ergodic Properties of the Fröbenius–Perron Semigroup. (2011). Scientia Series A: Mathematical Sciences, 21, 79-86. https://revistas.usm.cl/scientia/article/view/169
Abstract
We consider the Fröbenius-Perron semigroup of linear operators associated to a semidynamical system defined in a topological space \(X\) endowed with a finite or a \(\sigma-\)finite regular measure. Assuming strong continuity for the Fröbenius-Perron semigroup of linear operators in the space \(L^1_\mu(X)\) or in the space \(L^p_\mu(X)\) for \(1 < p < \infty\) ([11]). We study in this article ergodic properties of the Fröbenius--Perron semigroup of linear operators.
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