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Product Recurrence for Weighted Backward Shifts |
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PP: 2361-2365 |
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Author(s) |
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Víctor J. Galán,
Félix Martínez-Giménez,
Piotr Oprocha,
Alfred Peris,
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Abstract |
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| We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have
non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an example of weighted shift that admits
points which are recurrent and distal, but not product recurrent, in contrast with the dynamics on compact sets. An example of a product
recurrent point with unbounded orbit is also provided. |
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