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- W4289552790 abstract "We describe the Aluthge transform of an unbounded weighted composition operator acting in an $L^2$-space. We show that its closure is also a weighted composition operator with the same symbol and a modified weight function. We investigate its dense definiteness. We characterize $p$-hyponormality of unbounded weighted composition operators and provide results on how it is affected by the Aluthge transformation. We show that the only fixed points of the Aluthge transformation on weighted composition operators are quasinormal ones." @default.
- W4289552790 created "2022-08-03" @default.
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- W4289552790 date "2018-09-04" @default.
- W4289552790 modified "2023-10-16" @default.
- W4289552790 title "Aluthge transforms of unbounded weighted composition operators in $L^2$-spaces" @default.
- W4289552790 doi "https://doi.org/10.48550/arxiv.1809.01205" @default.
- W4289552790 hasPublicationYear "2018" @default.
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