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In this paper we provide a far-reaching generalization of the existent results about invariant subspaces of the differentiation operator D=∂t on C^{\infty}(0,1) and the Volterra operator Vf(t)=∫f(s)ds, on L^{2}(0,1). We use an abstract approach to study invariant subspaces of pairs D,V with DV=I, where V is compact and quasi-nilpotent and D is unbounded densely defined and closed on the same Hilbe
