Erratum to: ``On the range of the Aluthge transform'' (Q2470880)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Erratum to: ``On the range of the Aluthge transform'' |
scientific article |
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Erratum to: ``On the range of the Aluthge transform'' (English)
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15 February 2008
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In this erratum, the authors acknowledge that Lemma~1 in [Integral Equations Oper.\ Theory 57, No.\,2, 209--215 (2007; Zbl 1154.47003)] is incorrect. They need the additional assumption \(p>2\) in Theorem~3, that is, if \(\mathcal{H}=\mathbb C^p\) for \(p>2\), then \(R(\Delta)\) is neither closed nor dense in \(\mathcal{B(H)}\).
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errata
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Aluthge transform
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polar decomposition
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