PREDUALS OF JBW*-TRIPLES ARE 1-PLICHKO SPACES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10386000" target="_blank" >RIV/00216208:11320/18:10386000 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/18:00323349
Result on the web
<a href="https://doi.org/10.1093/qmath/hax057" target="_blank" >https://doi.org/10.1093/qmath/hax057</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/qmath/hax057" target="_blank" >10.1093/qmath/hax057</a>

Result language
angličtina
Original language name
PREDUALS OF JBW*-TRIPLES ARE 1-PLICHKO SPACES
Original language description
We investigate the preduals of JBW*-triples from the point of view of Banach space theory. We show that the algebraic structure of a JBW*-triple M naturally yields a decomposition of its pre-dual M*, by showing that M* is a 1-Plichko space (that is, it admits a countably 1-norming Markushevich basis). In case M is sigma-finite, its predual M* is even weakly compactly generated. These results are a common roof for previous results on L-1-spaces, preduals of von Neumann algebras, and preduals of JBW*-algebras.
Czech name
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Czech description
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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/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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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