Octahedral norms in free Banach lattices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00346271" target="_blank" >RIV/68407700:21230/21:00346271 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-020-00940-1" target="_blank" >https://doi.org/10.1007/s13398-020-00940-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-020-00940-1" target="_blank" >10.1007/s13398-020-00940-1</a>
Alternative languages
Result language
angličtina
Original language name
Octahedral norms in free Banach lattices
Original language description
In this paper, we study octahedral norms in free Banach lattices FBL[E] generated by a Banach space E. We prove that if E is an L-1(mu)-space, a predual of von Neumann algebra, a predual of a JBW*-triple, the dual of an M-embedded Banach space, the disc algebra or the projective tensor product under some hypothesis, then the norm of FBL[E] is octahedral. We get the analogous result when the topological dual E* of E is almost square. We finish the paper by proving that the norm of the free Banach lattice generated by a Banach space of dimension >= 2 is nowhere Frechet differentiable. Moreover, we discuss some open problems on this topic.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
ISSN
1578-7303
e-ISSN
1579-1505
Volume of the periodical
115
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000577458600001
EID of the result in the Scopus database
2-s2.0-85092544059