A unicellular universal quasinilpotent weighted shift
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- by Domingo A. Herrero PDF
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Abstract:
For a suitably chosen sequence of weights $\{ {\alpha _n}\}$, the unilateral weighted shift $Q$ on ${l^p}(1 \leq p < \infty )$, defined by $Q{e_n} = {\alpha _n}{e_{n + 1}}(n \geq 1)$, is a unicellular quasinilpotent operator such that ${Q^k}$ is not compact for any power $k \geq 1$. As a corollary, several applications to approximation of Hilbert space operators are given.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 649-652
- MSC: Primary 47B37; Secondary 47A55, 47A99
- DOI: https://doi.org/10.1090/S0002-9939-1990-1023343-3
- MathSciNet review: 1023343