Products of hyperbolic spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912090468384768 |
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| author | Pinto, Pedro Sipos, Andrei |
| author_facet | Pinto, Pedro Sipos, Andrei |
| contents | The class of uniformly smooth hyperbolic spaces was recently introduced by the first author as a common generalization of both CAT(0) spaces and uniformly smooth Banach spaces, in a way that Reich's theorem on resolvent convergence could still be proven. We define products of such spaces, showing that they are reasonably well-behaved. In this manner, we provide the first example of a space for which Reich's theorem holds and which is neither a CAT(0) space, nor a convex subset of a normed space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14093 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Products of hyperbolic spaces Pinto, Pedro Sipos, Andrei Metric Geometry 51F99, 52A55, 53C23 The class of uniformly smooth hyperbolic spaces was recently introduced by the first author as a common generalization of both CAT(0) spaces and uniformly smooth Banach spaces, in a way that Reich's theorem on resolvent convergence could still be proven. We define products of such spaces, showing that they are reasonably well-behaved. In this manner, we provide the first example of a space for which Reich's theorem holds and which is neither a CAT(0) space, nor a convex subset of a normed space. |
| title | Products of hyperbolic spaces |
| topic | Metric Geometry 51F99, 52A55, 53C23 |
| url | https://arxiv.org/abs/2408.14093 |