Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616262 | Journal of Mathematical Analysis and Applications | 2014 | 8 Pages |
Abstract
We examine the Toeplitzness of products of composition operators and their adjoints. We show, among other things, that Cϕ⁎Cϕ is strongly asymptotically Toeplitz for all analytic self-maps ϕ of the unit disk, and that CϕCϕ⁎ is Toeplitz if and only if ϕ is the identity or a rotation. Also, we see that CϕCϕ⁎ can exhibit varying degrees of asymptotic Toeplitzness.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chad Duna, Matthew Gagne, Caixing Gu, Jonathan Shapiro,