Multidiskcyclic Operators on Banach Spaces
Abstract
In this paper, we dene and study multidiskcyclic operators and nd some of their properties. Alfredo Peris (Peris, A. (2001). Multi-hypercyclic operators are hypercyclic. Mathematische Zeitschrift, 236(4), 779-786) proved that every multihypercyclic operator is hypercyclic. We show the corresponding result for multidiskcyclic operators. In particular, we show that every multidiskcyclic is diskcyclic too.
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