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Contractive realization theory for the annulus and other intersections of disks on the Riemann sphere
Journal article   Open access   Peer reviewed

Contractive realization theory for the annulus and other intersections of disks on the Riemann sphere

Radomił Baran, Piotr Pikul, Hugo J. Woerdeman and Michał Wojtylak
Journal of functional analysis, Forthcoming
Jan 2026
url
https://doi.org/10.1016/j.jfa.2026.111346View
Published, Version of Record (VoR)Open Access via Drexel Libraries Read and Publish Program 2026CC BY V4.0 Open

Abstract

Agler norm Annulus Bohr inequality Contractive realization Multihole domains
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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