Conditionally strictly cyclic shift operators (Q1071279)
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scientific article; zbMATH DE number 3940037
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditionally strictly cyclic shift operators |
scientific article; zbMATH DE number 3940037 |
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Conditionally strictly cyclic shift operators (English)
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1983
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If T is an injective unilateral weighted shift operator which satisfies the conditions: \(w_ n\searrow 1\) and \(\sum_{n\geq 0}(\beta (n))^{- 2}<+\infty\), we prove that T is conditionally strictly cyclic. A sufficient condition for T to be strictly cyclic in terms of the weights \(\{\omega_ n\}\) is given.
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injective unilateral weighted shift operator
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conditionally strictly cyclic
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0.9119551
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0.90146244
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