Complex symmetric composition operators with automorphic symbols
Functional Analysis
2016-08-02 v3
Abstract
In this paper we show that a composition operator cannot be complex symmetric on Hardy-Hilbert space when is an elliptic automorphism of order and not a rotation. This completes the project of finding all invertible composition operators which are complex symmetric .
Keywords
Cite
@article{arxiv.1607.04801,
title = {Complex symmetric composition operators with automorphic symbols},
author = {Yong-Xin Gao and Ze-Hua Zhou},
journal= {arXiv preprint arXiv:1607.04801},
year = {2016}
}