Enriched purity and presentability in Banach spaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134260" target="_blank" >RIV/00216224:14310/23:00134260 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1080/00927872.2023.2228412" target="_blank" >https://doi.org/10.1080/00927872.2023.2228412</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/00927872.2023.2228412" target="_blank" >10.1080/00927872.2023.2228412</a>

Result language
angličtina
Original language name
Enriched purity and presentability in Banach spaces
Original language description
The category Ban of Banach spaces and linear maps of norm ≤1 is locally ℵ1-presentable but not locally finitely presentable. We prove, however, that Ban is locally finitely presentable in the enriched sense over complete metric spaces. Moreover, in this sense, pure morphisms are just ideals of Banach spaces. We characterize classes of Banach spaces approximately injective with respect to sets of morphisms having finite-dimensional domains and separable codomains.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-02964S" target="_blank" >GA22-02964S: Enriched categories and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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