Retractions and the bounded approximation property in Banach spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F23%3A00370638" target="_blank" >RIV/68407700:21230/23:00370638 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00009-023-02270-z" target="_blank" >https://doi.org/10.1007/s00009-023-02270-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00009-023-02270-z" target="_blank" >10.1007/s00009-023-02270-z</a>
Alternative languages
Result language
angličtina
Original language name
Retractions and the bounded approximation property in Banach spaces
Original language description
In the present paper, we prove that a necessary condition for a Banach space X to admit a generating compact Lipschitz retract K, which satisfies an additional mild assumption on its shape, is that X enjoys the Bounded Approximation Property. This is a partial solution to a question raised by Godefroy and Ozawa.
Czech name
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Czech description
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Classification
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
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
MEDITERRANEAN JOURNAL OF MATHEMATICS
ISSN
1660-5446
e-ISSN
1660-5454
Volume of the periodical
20
Issue of the periodical within the volume
2
Country of publishing house
CH - SWITZERLAND
Number of pages
13
Pages from-to
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UT code for WoS article
000919037300002
EID of the result in the Scopus database
2-s2.0-85146682797