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Journal article
Contractive realization theory for the annulus and other intersections of disks on the Riemann sphere
Journal of functional analysis, v 290(8), 111346
15 Apr 2026
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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.
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Details
- Title
- Contractive realization theory for the annulus and other intersections of disks on the Riemann sphere
- Creators
- Radomił Baran - Jagiellonian UniversityPiotr Pikul - Jagiellonian UniversityHugo J. Woerdeman (Corresponding Author) - Drexel UniversityMichał Wojtylak - Jagiellonian University
- Publication Details
- Journal of functional analysis, v 290(8), 111346
- Publisher
- Elsevier
- Number of pages
- 27
- Grant note
H. J. Woerdeman and M. Wojtylak wish to thank the Banff International Research Station for the opportunity to work on this project during the workshop 23w5056. The research of H. J. Woerdeman is partially supported by NSF grant DMS 2348720. R. Baran was supported by the ID.UJ Initiative of Excellence - Research University.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001679787300001
- Other Identifier
- 991022154868804721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics