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Cowen, Carl C. Gallardo Gutiérrez, Eva Antonia 2023-06-18T06:55:51Z 2023-06-18T06:55:51Z 2016 Cowen, C. C., & Gallardo Gutiérrez, E. A. «Rota’s Universal Operators and Invariant Subspaces in Hilbert Spaces». Journal of Functional Analysis, vol. 271, n.o 5, septiembre de 2016, pp. 1130-49. DOI.org (Crossref), https://doi.org/10.1016/j.jfa.2016.05.018. 0022-1236 10.1016/j.jfa.2016.05.018 https://hdl.handle.net/20.500.14352/24609 https//doi.org/10.1016/j.jfa.2016.05.018 http://www.sciencedirect.com/science/article/pii/S0022123616301252 A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit an analytic Toeplitz operator whose adjoint is universal in the sense of Rota and commutes with a quasi-nilpotent injective compact operator with dense range. In articular, this new universal operator invites an approach to the Invariant Subspace Problem that uses properties of operators that commute with the universal operator. eng restricted access Rota’s universal operators and invariant subspaces in Hilbert spaces journal article