On Stability of Metric Spaces and Kalton's Property Q

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00382590" target="_blank" >RIV/68407700:21230/24:00382590 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1093/qmath/haae050" target="_blank" >https://doi.org/10.1093/qmath/haae050</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/qmath/haae050" target="_blank" >10.1093/qmath/haae050</a>

Result language
angličtina
Original language name
On Stability of Metric Spaces and Kalton's Property Q
Original language description
The first named author introduced the notion of upper stability for metric spaces in F. Baudier, Barycentric gluing and geometry of stable metrics, Rev. R. Acad. Cienc. Exactas F & iacute;s. Nat. Ser. A Mat. RACSAM 116 no. 1, (2022), 48 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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