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In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{w_1,\varphi_1},\ldots,C_{w_N,\varphi_N}$ were disjoint supercyclic on $H(\Omega)$ endowed with the compact open topology. Besides, we provided a condition on inducing symbols to guarantee the disjoint supercyclicity of non-constant adjoint multipliers $M_{\varphi_1}^*, M_{\varphi_2}^*,\ldots, M_{\varphi_N}^*$ on a Hilbert space $\mathcal{H}$.
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참고문헌 (27)
참고문헌 신청
F. Bayart / 2009 / Dynamics of Linear Operators, Cambridge Tracts in Mathematics, 179 / Cambridge University Press
L. Bernal-Gonzalez / 2007 / Disjoint hypercyclic operators / Studia Math. 182(2):113~131
J. Bes / 2014 / Dynamics of weighted composition operators / Complex Anal. Oper. Theory 8(1):159~176
J. Bes / 2012 / Compositional disjoint hypercyclicity equals disjoint supercyclicity / Houston J. Math. 38(4):1149~1163
J. Bes / 2011 / Disjoint hypercyclic linear fractional composition operators / J. Math. Anal. Appl. 381(2):843~856
L. Bernal-Gonzalez / 2007 / Disjoint hypercyclic operators / Studia Math. 182(2):113~131
J. Bes / 2014 / Dynamics of weighted composition operators / Complex Anal. Oper. Theory 8(1):159~176
J. Bes / 2012 / Compositional disjoint hypercyclicity equals disjoint supercyclicity / Houston J. Math. 38(4):1149~1163
J. Bes / 2011 / Disjoint hypercyclic linear fractional composition operators / J. Math. Anal. Appl. 381(2):843~856
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