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Disjoint supercyclic weighted composition operators

Yu-Xia Liang|Ze-Hua Zhou
대한수학회 (The Korean Mathematical Society)|2018.07|대한수학회보 (Bulletin of the KMS)|제55권 제4호|pp. 1137-1147

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참고문헌

키워드

weighted composition operatordisjoint supercyclicityadjoint multiplier
주제분류수학

초록

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 $\mathcal{H}$.

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 $\mathcal{H}$.

참고문헌 (27)

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관련 논문AI추천

HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF C^NRen-Yu Chen, Ze-Hua Zhou대한수학회 · 대한수학회지2011 · 제48권 제5호HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTSYu-Xia Liang, Ze-Hua Zhou대한수학회 · 대한수학회지2014 · 제51권 제2호Isometric weighted composition operators on the Fock space of $\mathbb{C}^N$Liankuo Zhao대한수학회 · 대한수학회보2016 · 제53권 제6호On multi subspace-hypercyclic operatorsMansooreh Moosapoor대한수학회 · 대한수학회논문집2020 · 제35권 제4호Supercyclicity of Convex OperatorsKarim Hedayatian, Lotfollah Karimi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호Normal complex symmetric weighted composition operators on the Hardy spaceHang Zhou, Ze-Hua Zhou대한수학회 · 대한수학회지2021 · 제58권 제4호

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