- Turkish Journal of Mathematics
- Vol: 36 Issue: 3
- Hypercyclic tuples of the adjoint of the weighted composition operators
Hypercyclic tuples of the adjoint of the weighted composition operators
Authors : Rahmat Soltani, Bahram Khani Robati
Pages : 452-462
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :An n-tuple of commuting operators, (T1,T2,...,Tn) on a Hilbert space \cal H is said to be hypercyclic, if there exists a vector x \in \cal H such that the set {T1k1 T2k2... Tnknx : ki \geq 0, i=1,2,...n} is dense in \cal H. In this paper, we give sufficient conditions under which the adjoint of an n-tuple of a weighted composition operator on a Hilbert space of analytic functions is hypercyclic.Keywords : Hypercyclicity, tuples, weighted composition operators