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arXiv · 1506.01806

Bilateral weighted shift operators similar to normal operators

György Pál Gehér
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Abstract

We prove that an injective, not necessarily bounded weighted bilateral shift operator on $\ell^2(\mathbb{Z})$ is similar to a normal operator if and only if it is similar to a scalar multiple of the simple (i.e. unweighted) bilateral shift operator $S$.

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György Pál Gehér. 2015-06-05. Bilateral weighted shift operators similar to normal operators. https://arxiv.org/abs/1506.01806

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