Which Weighted Composition Operators are Complex Symmetric?

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Christopher Hammond

Document Type

Book Chapter

Department

Mathematics (Pomona)

Publication Date

2013

Keywords

weighted composition operators, complex symmetric operators

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.

Comments

Pre-print manuscript is available at arXiv: http://arxiv.org/abs/1111.5642

The final publication of this book chapter will be available at Operator Theory: Advances and Applications.

Rights Information

© 2013 Springer-Verlag

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Recommended Citation

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