当前位置: X-MOL 学术Bull. Lond. Math. Soc. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Wolff–Denjoy theorems in geodesic spaces
Bulletin of the London Mathematical Society ( IF 0.8 ) Pub Date : 2021-04-13 , DOI: 10.1112/blms.12489
A. Huczek 1 , A. Wiśnicki 1
Affiliation  

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 R n or 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-dimensional Banach spaces.

中文翻译:

测地线空间中的 Wolff–Denjoy 定理

我们本着 Beardon 框架的精神在完整的测地线空间中展示了 Wolff-Denjoy 类型定理,该框架统一了该领域的几个结果。特别是,它适用于严格凸有界域 电阻 n n 关于一大类指标,包括希尔伯特和小林的指标。结果被推广到无限维 Banach 空间中的 1-Lipschitz 紧致映射。
更新日期:2021-04-13
down
wechat
bug