Let φ be an analytic function on the open unit disc U such that φ (U)⊆ U, and let ψ be an
analytic function on U such that the weighted composition operator Wψ, φ defined by Wψ …

A weighted composition operator C ψ, φ takes an analytic map f on the open unit disc of the
complex plane to the analytic map ψ⋅ f∘ φ where φ is an analytic map of the open unit disc …

Operators on function spaces acting by composition to the right with a fixed selfmap φ of
some set are called composition operators of symbol φ. A weighted composition operator is …

Full article: Complex symmetric weighted composition operators Skip to Main Content Taylor
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Let $ X $ be a set of analytic functions on the open unit disk $\mathbb {D} $, and let $\varphi
$ be an analytic function on $\mathbb {D} $ such that $\varphi (\mathbb …

We characterize the spectrum and essential spectrum of" essentially linear fractional"
composition operators acting upon the Hardy space H2 (𝕌) of the open unit disc 𝕌. When …

Bounded weighted composition operators, as well as compact weighted composition
operators, on Fock spaces have been characterised. This characterisation is refined in terms …

Weighted composition operators have been related to products of composition operators
and their adjoints and to isometries of Hardy spaces. In this paper, Hermitian weighted …

The original intent of the Koopman–von Neumann formalism was to put classical and
quantum mechanics on the same footing by introducing an operator formalism into classical …

We give examples of composition operators $ C_\Phi $ on $ H^ 2 ({\mathbb D}^ 2) $
showing that the condition $\|\Phi\| _\infty= 1$ is not sufficient for their approximation …