Complex symmetric composition operators with automorphic symbols

2016/07/16 by Gao, Yong-Xin, Zhou, Ze-Hua
#32H02 #46E20 #46L40 #47B33 #47B38 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1607.04801

Abstract

In this paper we show that a composition operator C_φ cannot be complex symmetric on Hardy-Hilbert space H²(D) when φ 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).

Related

• 2-complex symmetric composition operators on H²
• Complex symmetry of composition operators on weighted Bergman spaces
• Complex symmetric composition operators
• Complex symmetric weighted composition operators on the space H²₂(\mathbbD)
• Operators commuting with complex symmetric weighted composition operators on H²