Abstract

The paper gives measure-theoretic characterizations of classical properties of composition operators and their products on $L^2(\Sigma)$ such as complex symmetric and semi-Kato type operators.

Keywords: Kato operator; conditional expectation; composition operator; multiplication operator; polar decomposition; closed range.

MSC: 47B20, 47B38

Pages:  1$-$11     

Volume  69 ,  Issue  1 ,  2017