On the Cauchy dual and complex symmetric of composition operators

Author(s):

Morteza Sohrabi *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
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.
Keywords:

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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 2, Summer-Autumn 2021
Pages:
85 to 97
https://www.magiran.com/p2261139