Cowen, Carl C.Gallardo Gutiérrez, Eva Antonia2023-06-182023-06-1820160022123610.1016/j.jfa.2016.05.018https://hdl.handle.net/20.500.14352/24690A 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 particular, this new universal operator invites an approach to the Invariant Subspace Problem that uses properties of operators that commute with the universal operator.engjournal articlehttps//doi.org/10.1016/j.jfa.2016.05.018http://www.sciencedirect.com/science/article/pii/S0022123616301252restricted access517.98Invariant subspacesRota's universal operatorsAnálisis funcional y teoría de operadores