Complex symmetric composition operators with automorphic symbols

Abstract

In this paper we show that a composition operator $C_{\phi }$ cannot be complex symmetric on Hardy-Hilbert space $H^2(D)$ when $\phi$ 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 $H^2(D)$.

Cited by in corpus (1)

• Complex symmetric composition operators induced by linear fractional transformations