Jacek Trepkowski

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math.FA2018

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

Chafiq Benhida, Piotr Budzynski, Jacek Trepkowski

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…

math.FA2014

Aluthge transforms of weighted shifts on directed trees

Jacek Trepkowski

Aluthge transform of a bounded operator is generalized to the case of unbounded one. A formula for the Aluthge transform of a weighted shift on a directed tree is established and i…

Aluthge transforms of unbounded weighted composition operators in L2-spaces

Aluthge transforms of weighted shifts on directed trees

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