奥利奇空间上不相交拓扑传递性的一些特征
Some characterizations of disjoint topological transitivity on Orlicz spaces.
作者信息
Chen Chung-Chuan, Du Wei-Shih
机构信息
1Department of Mathematics Education, National Taichung University of Education, Taichung, Taiwan.
2Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, Taiwan.
出版信息
J Inequal Appl. 2018;2018(1):88. doi: 10.1186/s13660-018-1681-3. Epub 2018 Apr 16.
In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive. Based on this, a sufficient condition and a necessary condition for powers of weighted translations to be disjoint topologically transitive are obtained as well.
在本文中，我们研究赋予奥利奇范数的奥利奇空间上拓扑传递性的不相交性。我们首先给出加权平移是拓扑传递的特征描述。基于此，还得到了加权平移的幂是拓扑传递不相交的一个充分条件和一个必要条件。
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