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Distributional chaos for weighted translation operators on groups. (arXiv:1807.05191v1 [math.FA])
来源于:arXiv
In this paper, we initiate the study of distributional chaos for weighted
translations on locally compact groups, and give a sufficient condition for
such operators to be distributionally chaotic. We also investigate the set of
distributionally irregular vectors of weighted translations from the views of
modulus, cone, equivalent class and atom. In particular, we show that the set
of distributionally irregular vectors is residual if the group is the integer.
Besides, the equivalent class of distributionally irregular vectors is path
connected if the field is complex. 查看全文>>