تقرير
On stability of metric spaces and Kalton's property $Q$
| العنوان: | On stability of metric spaces and Kalton's property $Q$ |
|---|---|
| المؤلفون: | Baudier, F., Schlumprecht, Th., Zsák, A. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 46B85, 46B20, 51F30, 05C63 |
| الوصف: | The first named author introduced the notion of upper stability for metric spaces as a relaxation of stability. The motivation was a search for a new invariant to distinguish the class of reflexive Banach spaces from stable metric spaces in the coarse and uniform category. In this paper we show that property $Q$ does in fact imply upper stability. We also provide a direct proof of the fact that reflexive spaces are upper stable by relating the latter notion to the asymptotic structure of Banach spaces. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.11391 |
| رقم الأكسشن: | edsarx.2309.11391 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |