대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제55권4호
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  • Pages.1137-1147
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  • 2018
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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DISJOINT SUPERCYCLIC WEIGHTED COMPOSITION OPERATORS

  • Liang, Yu-Xia (School of Mathematical Sciences Tianjin Normal University) ;
  • Zhou, Ze-Hua (School of Mathematics Tianjin University)
  • 투고 : 2017.07.17
  • 심사 : 2018.05.09
  • 발행 : 2018.07.31
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⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we discovered a sufficient condition ensuring the weighted composition operators $C_{{\omega}_1,{\varphi}_1},{\cdots},C_{{\omega}_N,{\varphi}_N}$ 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 $M^*_{{\varphi}_1},M^*_{{\varphi}_2},{\cdots},M^*_{{\varphi}_N}$ on a Hilbert space ${\mathcal{H}}$.

키워드

참고문헌

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