@inproceedings{TROITSKY1998LomonosovsTC, title={Lomonosov’s Theorem Cannot Be Extended to Chains of Four Operators}, author={VLADIMIR G. TROITSKY and V. G. TROITSKY}, year={1998} }

- Published 1998

We show that the celebrated Lomonosov theorem cannot be improved by increasing the number of commuting operators. Specifically, we prove that if T : `1 → `1 is the operator without a non-trivial closed invariant subspace constructed by C. J. Read, then there are three operators S1, S2 and K (non-multiples of the identity) such that T commutes with S1, S1… CONTINUE READING

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