Self-adjoint, unitary, and normal weighted composition operators in several variables
Functional Analysis
2012-07-26 v1
Abstract
We study weighted composition operators on Hilbert spaces of analytic functions on the unit ball with kernels of the form for . We find necessary and sufficient conditions for the adjoint of a weighted composition operator to be a weighted composition operator or the inverse of a weighted composition operator. We then obtain characterizations of self-adjoint and unitary weighted composition operators. Normality of these operators is also investigated.
Cite
@article{arxiv.1207.5980,
title = {Self-adjoint, unitary, and normal weighted composition operators in several variables},
author = {Trieu Le},
journal= {arXiv preprint arXiv:1207.5980},
year = {2012}
}