Contractive realization theory for the annulus and other intersections of disks on the Riemann sphere
Abstract
We develop contractive finite dimensional realizations for rational matrix functions of one variable on domains that are not simply connected, such as the annulus. The proof uses multivariable contractive realization results as well as abstract operator algebra techniques. Other results include new bounds for the Bohr radius of the bidisk and the annulus.
Fields of Study & Subjects
Holomorphic and Operator Theory
Analytic and geometric function theory
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of Functional Analysis
- Volume
- 290
- Issue
- 8
- Pages
- 111346–111346
- Publication date
- 12 January 2026
- Language
- EN