Star order on JBW algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F14%3A00221459" target="_blank" >RIV/68407700:21230/14:00221459 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jmaa.2014.03.054" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2014.03.054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2014.03.054" target="_blank" >10.1016/j.jmaa.2014.03.054</a>

Result language
angličtina
Original language name
Star order on JBW algebras
Original language description
The star order is extended from associative algebras to non-associative Jordan Banach structures. After showing basic properties of this order, we discuss continuous (not necessarily linear) bijections preserving star order in the context of JBW algebras. In particular, we show that these maps between JBW factors of Type I$_n$, where $nneq 2$, have the form given by composition of Jordan isomorphism with functional calculus.
Czech name
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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
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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
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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