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An isometry plus a nilpotent operator is an \(m\)-isometry. Applications - MaRDI portal

An isometry plus a nilpotent operator is an \(m\)-isometry. Applications (Q2257684)

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An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
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    An isometry plus a nilpotent operator is an \(m\)-isometry. Applications (English)
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    26 February 2015
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    The authors of the article under review prove that, if an isometry \(A\) and a nilpotent operator \(Q\) of order \(n\) commute, then \(A + Q\) is a strict \((2n-1)\)-isometry.
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    isometry
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    \(m\)-isometry
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    nilpotent operator
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    spectrum
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    weighted shift operator
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    supercyclic operator
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    \(N\)-supercyclic operator
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    Jordan operator
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    sub-Jordan operator
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