Hypercyclic tuples of the adjoint of the weighted composition operators

Authors

RAHMAT SOLTANI
BAHRAM KHANI ROBATI
KARIM HEDAYATIAN

DOI

10.3906/mat-1010-402

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.

Keywords

Hypercyclicity, tuples, weighted composition operators

First Page

452

Last Page

462

Recommended Citation

SOLTANI, RAHMAT; ROBATI, BAHRAM KHANI; and HEDAYATIAN, KARIM (2012) "Hypercyclic tuples of the adjoint of the weighted composition operators," Turkish Journal of Mathematics: Vol. 36: No. 3, Article 11. https://doi.org/10.3906/mat-1010-402
Available at: https://journals.tubitak.gov.tr/math/vol36/iss3/11