Octahedrality and Gâteaux smoothness
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F25%3A00389451" target="_blank" >RIV/68407700:21230/25:00389451 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2024.128968" target="_blank" >https://doi.org/10.1016/j.jmaa.2024.128968</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2024.128968" target="_blank" >10.1016/j.jmaa.2024.128968</a>
Alternative languages
Result language
angličtina
Original language name
Octahedrality and Gâteaux smoothness
Original language description
We prove that every Banach space admitting a Gâteaux smooth norm and containing a complemented copy of I1 has an equivalent renorming which is simultaneously Gâteaux smooth and octahedral. This is a partial solution to an open problem from the early nineties.
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
<a href="/en/project/GA23-04776S" target="_blank" >GA23-04776S: Interplay of algebraic, metric, geometric and topological structures on Banach spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
e-ISSN
1096-0813
Volume of the periodical
543
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
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UT code for WoS article
001344331700001
EID of the result in the Scopus database
2-s2.0-85206459947