New additive results for Cauchy dual and MP−inverse of weighted composition operators


Morteza Sohrabi




In this paper, we prove some basic results for Cauchy dual of weighted composition operators. Also we introduce some new classes of operators, called †-hyponormal, †-quasi-hyponormal, and we provide necessary and sufficient conditions for Cauchy dual and MP−inverse of weighted composition operators on L 2 (Σ) to belong to these classes. In addition, we study the complex symmetry of these types of operators. Moreover, some examples are provided to illustrate the obtained results