2023
Enriched purity and presentability in Banach spaces
ROSICKÝ, JiříBasic information
Original name
Enriched purity and presentability in Banach spaces
Authors
ROSICKÝ, Jiří (203 Czech Republic, guarantor, belonging to the institution)
Edition
Communications in Algebra, Taylor and Francis Ltd. 2023, 0092-7872
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.600
RIV identification code
RIV/00216224:14310/23:00134260
Organization unit
Faculty of Science
UT WoS
001024002600001
EID Scopus
2-s2.0-85164516312
Keywords in English
Banach spaces; linear maps; finite-dimensional; separable codomains; metric spaces
Tags
Tags
International impact, Reviewed
Changed: 18/10/2023 15:01, Mgr. Marie Novosadová Šípková, DiS.
Abstract
In the original language
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.
Links
| GA22-02964S, research and development project |
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