Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592341 | Journal of Functional Analysis | 2009 | 32 Pages |
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