Which weighted composition operators are complex symmetric?

Details Which weighted composition operators are complex symmetric? Which weighted composition operators are complex symmetric?

2011-11-23

arxiv.org/abs/1111.5642v1

Mathematics

Functional Analysis

8 pages

Scientific paper

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.

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