On Markushevich bases in preduals of von Neumann algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331930" target="_blank" >RIV/00216208:11320/16:10331930 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/16:00302144
Result on the web
<a href="http://dx.doi.org/10.1007/s11856-016-1365-y" target="_blank" >http://dx.doi.org/10.1007/s11856-016-1365-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-016-1365-y" target="_blank" >10.1007/s11856-016-1365-y</a>

Result language
angličtina
Original language name
On Markushevich bases in preduals of von Neumann algebras
Original language description
We prove that the predual of any von Neumann algebra is 1-Plichko, i.e., it has a countably 1-norming Markushevich basis. This answers a question of the third author who proved the same for preduals of semifinite von Neumann algebras. As a corollary we obtain an easier proof of a result of U. Haagerup that the predual of any von Neumann algebra enjoys the separable complementation property. We further prove that the selfadjoint part of the predual is 1-Plichko as well.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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