SOME WEAK NORMAL CLASSES OF SUBSTITUTION OPERATORS

Subject Operator theory
Title SOME WEAK NORMAL CLASSES OF SUBSTITUTION OPERATORS
Author(s) M. R. Jabbarzadeh
Keywords Conditional expectation, weighted composition operator, n-power normal, k-quasi-paranormal.
Abstract In this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on L2(Σ) such as, n-power normal, n-power quasi-normal, k-quasi-paranormal and quasi-class A. Then we show that weighted composition operators can separate these classes.