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Which weighted composition operators are complex symmetric?

2011/11/23 by Garcia, Stephan Ramon, Hammond, Christopher
#47B32 #47B33 #47B99 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1111.5642

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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