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Uniform convergence in the individual ergodic theorem for symmetric sequence spaces. (arXiv:1706.09860v1 [math.FA])

来源于:arXiv
It is proved that for any Dunford-Schwartz operator $T$ acting in the space $l_\infty$ and for each $x\in c_0 $ there exists an element $\widehat x \in c_0 $ such that $\| \frac 1n \sum_{k=0}^{n-1}T^k(x) - \widehat x \|_\infty \to 0$. 查看全文>>