Mind Duggal Transforms
Functional Analysis
2018-05-22 v2
Abstract
It is known that if an operator is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to showing that the Duggal transform doesn't inherit this property. For instance, we'll show that the Duggal transform isn't always complex symmetric when is, as it was claimed in \cite{Ga}.
Cite
@article{arxiv.1804.00877,
title = {Mind Duggal Transforms},
author = {C. Benhida},
journal= {arXiv preprint arXiv:1804.00877},
year = {2018}
}