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 : 0000-00-00

Article Type : Research Paper

Abstract :An n-tuple of commuting operators, insert ignore into journalissuearticles values(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