Which Weighted Composition Operators are Complex Symmetric

By Stephan Ramon Garcia, Christopher N. B. Hammond. 2011

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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.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8692e636aa07c7a1357c1dc734beb14dd5824c39