Pozzi, Elodie Universality of weighted composition operators on \(L^2([0, 1])\) and Sobolev spaces. (English) Zbl 1289.47015 Acta Sci. Math. 78, No. 3-4, 609-642 (2012). In this paper, among other things, the author proves the universality of a class of upper and lower semi-Fredholm operators, applies it to show the universality of a type of weighted composition operators on Sobolev space of unit interval, and thus gives a generalization of Caradus’ theorem. Reviewer: Ömer Gök (Istambul) Cited in 4 Documents MSC: 47A15 Invariant subspaces of linear operators 47B33 Linear composition operators 47A16 Cyclic vectors, hypercyclic and chaotic operators Keywords:weighted composition operators; semi-Fredholm operators; universal operators; invariant subspaces; cyclic vectors; Müntz theorem; Sobolev spaces PDFBibTeX XMLCite \textit{E. Pozzi}, Acta Sci. Math. 78, No. 3--4, 609--642 (2012; Zbl 1289.47015)