Hypercyclic tuples of the adjoint of the weighted composition operators

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.

Anahtar Kelimeler:

Hypercyclicity, tuples, weighted composition operators

Hypercyclic tuples of the adjoint of the weighted composition operators

Keywords:

Hypercyclicity, tuples, weighted composition operators,

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Rahmat SOLTANI, Bahram Khani ROBATI, Received: 15.10.2010 Karim HEDAYATIAN
Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71454, IRAN e—mail: r_soltani@pnu.ac.ir, e—mails: {bkhani, hedayati}@shirazu.ac.ir