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• W2892082466 abstract "We show the existence of a linear bounded operator T on l 1 such that no polynomial in T has non-trivial closed invariant subspaces, proving a conjecture by Read [J. Lond. Math. Soc. 34 (1986) 335–348] posed in 1986. Moreover, such an operator T is quasinilpotent and satisfies that p(T) has no non-trivial closed invariant subspaces for any non-constant analytic germ p, strengthening so far the previous known counterexamples in the area." @default.
• W2892082466 created "2018-09-27" @default.
• W2892082466 creator A5041627289 @default.
• W2892082466 creator A5082434592 @default.
• W2892082466 date "2018-09-19" @default.
• W2892082466 modified "2023-10-17" @default.
• W2892082466 title "Operators having no non-trivial closed invariant subspaces on ℓ1: a step further" @default.
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• W2892082466 doi "https://doi.org/10.1112/plms.12194" @default.
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