Weighted composition operators on the Fock space
Mahsa Fatehi
TL;DR
This paper investigates weighted composition operators on the Fock space, providing characterizations of their normality, closed range properties, and calculating their norms.
Contribution
It offers a complete characterization of when weighted composition operators are normal or have closed range on the Fock space, and computes specific operator norms.
Findings
Weighted composition operators are normal if and only if they are cohyponormal.
Complete characterization of closed range weighted composition operators.
Explicit formulas for norms of certain weighted composition operators.
Abstract
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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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Algebraic and Geometric Analysis