Power set of some quasinilpotent weighted shifts (Q2032317)
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scientific article; zbMATH DE number 7357793
| Language | Label | Description | Also known as |
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| English | Power set of some quasinilpotent weighted shifts |
scientific article; zbMATH DE number 7357793 |
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Power set of some quasinilpotent weighted shifts (English)
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11 June 2021
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The power set \(\Lambda(T)\) of a quasinilpotent operator \(T\) on a separable Hilbert space \(H\) was introduced by \textit{R. G. Douglas} and \textit{R. Yang} [Oper. Theory: Adv. Appl. 267, 167--183 (2018; Zbl 1454.47009)]. Several results about the power set of quasinilpotent operators \(T\) and its relation with their lattice of invariant subspaces are presented. For instance, a~quasinilpotent operator \(T\) such that \(\Lambda(T) = [0,1]\) with further interesting properties is constructed.
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power set
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weighted shift
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unicellular operator
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invariant subspace
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