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Authors
Affiliations
1 Department of Mathematics, Institute of Science Banaras Hindu University, Varanasi -221005, IN
Source
The Journal of the Indian Mathematical Society, Vol 86, No 1-2 (2019), Pagination: 187-198
Abstract
In this paper, we discuss hypercyclicity, supercyclicity and cyclicity of composition operators on lp(1 ≤ p < ∞). We prove that no composition operator is hypercyclic on lp. Further, we also prove that CΦ : lp → lp is supercyclic if and only if Φ is injective and Φn has no fixed point in N, for any n ∈ N. We also give a sufficient condition and some necessary conditions for cyclicity of composition operator.
Keywords
Hypercyclicity, Supercyclicity, Cyclicity, Composition Operator on lp.
References
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