×

Universality of weighted composition operators on \(L^2([0, 1])\) and Sobolev spaces. (English) Zbl 1289.47015

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.

MSC:

47A15 Invariant subspaces of linear operators
47B33 Linear composition operators
47A16 Cyclic vectors, hypercyclic and chaotic operators
PDFBibTeX XMLCite