Abstract
The paper gives counterexamples in abstract ergodic theory of an equicontinuous semigroup $\mathcal{S}$ of linear operators on a locally convex space $X$. In particular, it is shown that the orbit of an element $x\in X$ may contain a unique fixed point of $\cal{S}$ without $x$ being necessarily ergodic.
Citation
J. J. Koliha. "COUNTEREXAMPLES IN ERGODIC THEORY OF EQUICONTINUOUS SEMIGROUPS OF OPERATORS." Taiwanese J. Math. 6 (2) 175 - 180, 2002. https://doi.org/10.11650/twjm/1500407427
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