Which weighted composition operators are complex symmetric?
Functional Analysis
2012-05-22 v2 Complex Variables
Abstract
Recent work by several authors has revealed the existence of many unexpected classes of normal weighted composition operators. On the other hand, it is known that every normal operator is a complex symmetric operator. We therefore undertake the study of complex symmetric weighted composition operators, identifying several new classes of such operators.
Keywords
Cite
@article{arxiv.1111.5642,
title = {Which weighted composition operators are complex symmetric?},
author = {Stephan Ramon Garcia and Christopher Hammond},
journal= {arXiv preprint arXiv:1111.5642},
year = {2012}
}
Comments
9 pages, to appear in Operator Theory: Advances and Applications