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arXiv · 2105.05509

Wolff-Denjoy theorems in geodesic spaces

Aleksandra Huczek·Andrzej Wiśnicki
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Abstract

We show a Wolff-Denjoy type theorem in complete geodesic spaces in the spirit of Beardon's framework that unifies several results in this area. In particular, it applies to strictly convex bounded domains in $\mathbb{R}^{n}$ or $\mathbb{C}^{n}$ with respect to a large class of metrics including Hilbert's and Kobayashi's metrics. The results are generalized to $1$-Lipschitz compact mappings in infinite-dimesional Banach spaces.

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Aleksandra Huczek, Andrzej Wiśnicki. 2021-05-12. Wolff-Denjoy theorems in geodesic spaces. https://doi.org/10.1112/blms.12489

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