Affiliation:
1. Department of Mathematics, Lorestan University, Khorramabad, Iran
Abstract
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 L2(?) 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.
Publisher
National Library of Serbia