Hilbert generated Banach spaces need not have a norming Markushevich basis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00333048" target="_blank" >RIV/68407700:21230/19:00333048 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.aim.2019.05.012" target="_blank" >https://doi.org/10.1016/j.aim.2019.05.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aim.2019.05.012" target="_blank" >10.1016/j.aim.2019.05.012</a>
Alternative languages
Result language
angličtina
Original language name
Hilbert generated Banach spaces need not have a norming Markushevich basis
Original language description
We construct a zero dimensional uniform Eberlein compact space K such that C(K) is a Hilbert generated Banach space which does not admit any norming Markushevich basis. This solves a classical problem from the seventies. (C) 2019 Elsevier Inc. All rights reserved.
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
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in mathematics
ISSN
0001-8708
e-ISSN
1090-2082
Volume of the periodical
351
Issue of the periodical within the volume
JUL
Country of publishing house
GB - UNITED KINGDOM
Number of pages
16
Pages from-to
702-717
UT code for WoS article
000475548900019
EID of the result in the Scopus database
2-s2.0-85066089447