Projectional skeletons and Markushevich bases

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420465" target="_blank" >RIV/00216208:11320/20:10420465 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=fr5Qk6ek3A" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=fr5Qk6ek3A</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/plms.12299" target="_blank" >10.1112/plms.12299</a>

Result language
angličtina
Original language name
Projectional skeletons and Markushevich bases
Original language description
We prove that Banach spaces with a 1-projectional skeleton form a P-class and deduce that any such space admits a strong Markushevich basis. We provide several equivalent characterizations of spaces with a projectional skeleton and of spaces having a commutative one. We further analyze known examples of spaces with a noncommutative projectional skeleton and compare their behavior with the commutative case. Finally, we collect several open problems.
Czech name
—
Czech description
—

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

Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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