Hypercyclicity, supercyclicity, and cyclicity of a weighted composition operator on ℓ
p
spaces
Keyword(s):
Abstract In this paper, we give a characterization of a hypercyclic weighted composition operator on ℓ p {\ell^{p}} ( 1 ≤ p < ∞ {1\leq p<\infty} ). We also obtain some necessary conditions and sufficient conditions for the supercyclicity and cyclicity of a weighted composition operator on ℓ p {{\ell}^{p}} ( 1 ≤ p < ∞ {1\leq p<\infty} ).
2013 ◽
Vol 2013
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pp. 1-5
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1991 ◽
Vol 33
(3)
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pp. 275-279
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1985 ◽
Vol 31
(1)
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pp. 117-126
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2009 ◽
Vol 61
(1)
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pp. 50-75
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