Normality and Quasinormality of Specific Bounded Product of Densely Defined Composition Operators in L2 Spaces

Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈ 𝒟(Cϕ).

Bibliographic Details
Main Author: Zhou Hang
Format: Article
Language:English
Published: De Gruyter 2022-06-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2022-0130