Which Weighted Composition Operators are Complex Symmetric?
weighted composition operators, complex symmetric operators
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.
© 2013 Springer-Verlag
Garcia, S.R., Hammond, C., Which weighted composition operators are complex symmetric?, Oper. Theory Adv. Appl. 236 (2013), 171-179. http://arxiv.org/abs/1111.5642