Measures of weak non-compactness in preduals of von Neumann algebras and JBW*-triples

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F20%3A10420462" target="_blank" >RIV/00216208:11320/20:10420462 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/20:00346255
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=_Jz_d6paTG" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=_Jz_d6paTG</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2019.108300" target="_blank" >10.1016/j.jfa.2019.108300</a>

Result language
angličtina
Original language name
Measures of weak non-compactness in preduals of von Neumann algebras and JBW*-triples
Original language description
We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW*-triples. This result is new even for preduals of von Neumann algebras. We further provide a characterization of JBW*-triples with strongly WCG predual and describe the order of seminorms defining the strong* topology. As a byproduct we improve a characterization of weakly compact subsets of a JBW*-triple predual, providing so a proof for a conjecture, open for almost eighteen years, on weakly compact operators from a JB*-triple into a complex Banach space.
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
Result was created during the realization of more than one project. More information in the Projects tab.
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

Similar results(10)