\(m\)-isometric weighted shifts and reflexivity of some operators (Q1951347)
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scientific article; zbMATH DE number 6170754
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(m\)-isometric weighted shifts and reflexivity of some operators |
scientific article; zbMATH DE number 6170754 |
Statements
\(m\)-isometric weighted shifts and reflexivity of some operators (English)
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5 June 2013
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In this paper, the authors characterize all \(m\)-isometric unilateral weighted shift operators that are not \(m-1\)-isometrics in terms of their weight sequences. Also, they discuss the reflexivity of a contraction whose spectrum is the closed unit disc and the reflexivity of non-negative integer powers of hyponormal \(m\)-isometries.
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reflexive operator
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\(m\)-isometry
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contraction
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hyponormal operator
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von Neumann operator
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unilateral weighted shift
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