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- W2951218280 abstract "We show that the celebrated Lomonosov theorem cannot be improved by increasing the number of commuting operators. Specifically, we prove that if T is the operator on l_1 without a non-trivial closed invariant subspace constructed by C.J.Read, then there are three operators S_1, S_2 and K (non-multiples of the identity) such that T commutes with S_1, S_1 commutes with S_2, S_2 commutes with K, and K is compact. It is also shown that the commutant of T contains only series of T." @default.
- W2951218280 created "2019-06-27" @default.
- W2951218280 creator A5018673438 @default.
- W2951218280 date "1998-09-18" @default.
- W2951218280 modified "2023-09-27" @default.
- W2951218280 title "Lomonosov's theorem cannot be extended to chains of four operators" @default.
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- W2951218280 hasPublicationYear "1998" @default.
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