Aluthge transforms of unbounded weighted composition operators in $L^2$-spaces

Autor:	Benhida, Chafiq, Budzynski, Piotr, Trepkowski, Jacek
Rok vydání:	2018
Předmět:	Mathematics - Functional Analysis Primary 47B38 47B37 47B33 47B20 secondary 47B49
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1809.01205 Zobrazit plný text záznamu View this record from Arxiv