Geodesic
New additive results for Cauchy dual and MP−inverse of weighted composition operators
Filomat, Tome 35 (2021) no. 7, p. 2215

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DOI

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
DOI : 10.2298/FIL2107215S
Classification : 47B20, 47B38
Keywords: Moore-Penrose inverse, Cauchy dual, complex symmetry, weighted composition operator, hyponormal, paranormal 
Morteza Sohrabi. New additive results for Cauchy dual and MP−inverse of weighted composition operators. Filomat, Tome 35 (2021) no. 7, p. 2215 . doi: 10.2298/FIL2107215S
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     author = {Morteza Sohrabi},
     title = {New additive results for {Cauchy} dual and {MP\ensuremath{-}inverse} of weighted composition operators},
     journal = {Filomat},
     pages = {2215 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107215S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107215S/}
}
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