Disjoint Hypercyclicity and Weighted Translations on Discrete Groups
Keyword(s):
Let 1 ≤ p < ∞, and let G be a discrete group. We give a sufficient and necessary condition for weighted translation operators on the Lebesgue space ℓp(G) to be densely disjoint hypercyclic. The characterization for the dual of a weighted translation to be densely disjoint hypercyclic is also obtained.
2018 ◽
Vol 33
(10)
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pp. 1850055
2018 ◽
Vol 16
(06)
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pp. 1850053
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2010 ◽
Vol 164
(4)
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pp. 497-517
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2017 ◽
Vol 13
(8)
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pp. 155014771772629
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2013 ◽
Vol 278-280
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pp. 1687-1691