Mind Duggal Transforms
Abstract
It was proven that if an operator $T$ is complex symmetric then its Aluthge transform is also complex symmetric. This Note is devoted to show that the Duggal transform doesn't heritate this property. For instance, we'll show that the Duggal transform isn't always complex symmetric
when $T$ is, as it was claimed in \cite{Ga}.
when $T$ is, as it was claimed in \cite{Ga}.
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