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