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Complex symmetric composition operators with automorphic symbols

Published 16 Jul 2016 in math.FA | (1607.04801v3)

Abstract: In this paper we show that a composition operator $C_\varphi$ cannot be complex symmetric on Hardy-Hilbert space $H2(D)$ when $\varphi$ is an elliptic automorphism of order $3$ and not a rotation. This completes the project of finding all invertible composition operators which are complex symmetric $H2(D)$.

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Authors (2)

  1. Yong-Xin Gao 
  2. Ze-Hua Zhou 

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