Turkish Journal of Mathematics
Abstract
An n-tuple of commuting operators, (T_1,T_2,...,T_n) on a Hilbert space \cal H is said to be hypercyclic, if there exists a vector x \in \cal H such that the set {T_1^{k_1} T_2^{k_2}... T_n^{k_n}x : k_i \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.
DOI
10.3906/mat-1010-402
Keywords
Hypercyclicity, tuples, weighted composition operators
First Page
452
Last Page
462
Recommended Citation
SOLTANI, R, ROBATI, B. K, & HEDAYATIAN, K (2012). Hypercyclic tuples of the adjoint of the weighted composition operators. Turkish Journal of Mathematics 36 (3): 452-462. https://doi.org/10.3906/mat-1010-402
