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Bull. Korean Math. Soc. 2018; 55(4): 1137-1147
Online first article June 29, 2018 Printed July 31, 2018
https://doi.org/10.4134/BKMS.b170626
Copyright © The Korean Mathematical Society.
Disjoint supercyclic weighted composition operators
Yu-Xia Liang, Ze-Hua Zhou
Tianjin Normal University, Tianjin University
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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