Order type relations on the set of tripotents in a JB∗-triple
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10510740" target="_blank" >RIV/00216208:11320/25:10510740 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/25:00389124
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=nWisrjh0Ru" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=nWisrjh0Ru</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/dm231004-6-5" target="_blank" >10.4064/dm231004-6-5</a>
Alternative languages
Result language
angličtina
Original language name
Order type relations on the set of tripotents in a JB∗-triple
Original language description
We introduce, investigate and compare several order type relations on the set of tripotents in aJB & lowast;-triple. The main two relations we address are <=(h )and <=(n). We write u <=(h )e (or u <=(n) e) ifuis a self-adjoint (or normal) element of the Peirce-2 subspace associated toeconsidered as aunital JB & lowast;-algebra with unite. It turns out that these relations need not be transitive, so weconsider their transitive hulls as well. Properties of these transitive hulls appear to be closelyconnected with types of von Neumann algebras, with the results on products of symmetries, withdeterminants in finite-dimensional Cartan factors, with finiteness and other structural propertiesof JBW & lowast;-triples.
Czech name
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Czech description
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Classification
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
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Dissertationes Mathematicae
ISSN
0012-3862
e-ISSN
1730-6310
Volume of the periodical
606
Issue of the periodical within the volume
6.10.2025
Country of publishing house
PL - POLAND
Number of pages
78
Pages from-to
1-78
UT code for WoS article
001590280700001
EID of the result in the Scopus database
2-s2.0-105028113389