Article ID Journal Published Year Pages File Type
4592341 Journal of Functional Analysis 2009 32 Pages PDF
Abstract

We determine the essential spectra of algebraic combinations of Toeplitz operators with continuous symbol and composition operators induced by a class of linear-fractional non-automorphisms of the unit disk. The operators in question act on the Hardy space H2 on the unit disk. Our method is to realize the C∗-algebra that they generate as an extension of the compact operators by a concrete C∗-algebra whose invertible elements are easily characterized.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory