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Which weighted composition operators are complex symmetric?
Published 23 Nov 2011 in math.FA and math.CV | (1111.5642v2)
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.
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