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On stability of metric spaces and Kalton's property $Q$ by Baudier, F.; Schlumprecht, Th.; Zsák, A. is a scholarly article available to read on EtoBox.
What is On stability of metric spaces and Kalton's property $Q$ about?
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.
- Author
- Baudier, F.; Schlumprecht, Th.; Zsák, A.
- Published
- 2023
- Language
- EN
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