Open AccessNew additive results for Cauchy dual and MP-inverse of weighted composition operators
Author(s) -
Morteza Sohrabi
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2107215s
Subject(s) - mathematics , composition (language) , cauchy distribution , inverse , dual (grammatical number) , pure mathematics , algebra over a field , mathematical analysis , art , philosophy , linguistics , geometry , literature
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.