On the Cauchy dual and complex symmetric of composition operators

In this paper, firstly we show that some classical properties for Cauchy dual and Moore-Penrose inverse of composition operators, such as complex symmetric and Aluthge transform on L^{۲}(\Sigma). Secondly we give a characterization for some operator classes of weak p-hyponormal via Moore-Penrose inverse of composition operators. Finally, some examples are then presented to illustrate that, the Moore-Penrose inverse of composition operators lie between these classes.

کلیدواژه ها:

Cauchy dual ، Moore-Penrose inverse ، polar decomposition ، Aluthge transform ، complex symmetric ، p-hyponormal ، p-paranormal