Disjoint supercyclic weighted composition operators
Bull. Korean Math. Soc. 2018 Vol. 55, No. 4, 1137-1147
Published online June 29, 2018
Printed July 31, 2018
Yu-Xia Liang, Ze-Hua Zhou
Tianjin Normal University, Tianjin University
Abstract : 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 $\mathcal{H}$.
Keywords : disjoint supercyclicity, weighted composition operator, adjoint multiplier
MSC numbers : Primary 47A16, 47B33, 47B38
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