A Denjoy-Wolff theorem for bounded symmetric domains | Synapse
October 16, 2025Open Access
A Denjoy-Wolff theorem for bounded symmetric domains
Key Points
This theorem extends results from complex analysis to broader geometric contexts involving Banach spaces.
The Denjoy-Wolff theorem traditionally applicable to the complex unit disc now encompasses finite rank bounded symmetric domains.
The findings may enable further development in complex analysis and functional analysis domains.
This research uncovers connections between fixed-point theory and geometric structures in complex spaces.
Abstract
We generalise the Denjoy-Wolff theorem for a fixed-point free holomorphic self-map on the complex unit disc to bounded symmetric domains of finite rank in complex Banach spaces.