Title of article :
Hypercyclic tuples of the adjoint of the weighted composition operators
Author/Authors :
Soltani, Rahmat shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران , Khani Robati, Bahram shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران , Hedayatian, Karim shiraz university - College of Sciences - Department of Mathematics, شيراز, ايران
Abstract :
An n-tuple of commuting operators, (T1, T2,, ...,Tn) on a Hilbert space H is said to be hypercyclic, if there exists a vector x ∈ H such that the set {T1 ^k1T2^ k2 ...Tn ^kn x : ki ≥ 0, i = 1, 2, ...n} is dense in 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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
