On the Cauchy dual and complex symmetric of composition operators

نویسندگان

1 Department of Mathematics, Lorestan University, Khorramabad, Iran

doi
10.22075/ijnaa.2020.20826.2203
چکیده

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 $L^{2}(\Sigma)$. 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.