| Autor: |
AZIMI, MOHAMMAD REZA, NAGHDI, Z. |
| Předmět: |
|
| Zdroj: |
Mathematical Inequalities & Applications; Jul2024, Vol. 27 Issue 3, p549-560, 12p |
| Abstrakt: |
A conditional weighted composition operator Tu : Lp(Σ) → Lp(A) (1 ≤ p < ∞), is defined by Tu(f) ≔ EA(u f o φ), where φ : X → X is a measurable transformation, u is a weight function on X and EA is the conditional expectation operator with respect to A. In this paper, we study the subspace-hypercyclicity of Tu with respect to Lp(A). First, we show that if φ is a periodic nonsingular transformation, then Tu is not Lp(A) -hypercyclic. The necessary conditions for the subspace-hypercyclicity of Tu are obtained when φ is non-singular and finitely non-mixing. For the sufficient conditions, the normality of φ is required. The subspace-weakly mixing and subspace-topologically mixing concepts are also studied for Tu . Finally, we give an example which is subspace-hypercyclic while is not hypercyclic. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
