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arxiv: 1809.04829 · v1 · pith:AWZURXOSnew · submitted 2018-09-13 · 🧮 math.FA

Weighted composition operators on the Fock space

classification 🧮 math.FA
keywords compositionweightedoperatorsfockspacecharacterizationclosedcohyponorma
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In this paper, we study weighted composition operators on the Fock space. We show that a weighted composition operator is cohyponorma if and only if it is normal. Moreover, we give a complete characterization of closed range weighted composition operators. Finally, we find norms of some weighted composition operators.

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