Star Order and Topologies on von Neumann Algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F18%3A00323350" target="_blank" >RIV/68407700:21230/18:00323350 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00009-018-1221-x" target="_blank" >http://dx.doi.org/10.1007/s00009-018-1221-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00009-018-1221-x" target="_blank" >10.1007/s00009-018-1221-x</a>
Alternative languages
Result language
angličtina
Original language name
Star Order and Topologies on von Neumann Algebras
Original language description
The goal of this paper is to study a topology generated by the star order on von Neumann algebras. In particular, it is proved that the order topology under investigation is finer than -strong* topology. On the other hand, we show that it is comparable with the norm topology if and only if the von Neumann algebra is finite-dimensional.
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
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
MEDITERRANEAN JOURNAL OF MATHEMATICS
ISSN
1660-5446
e-ISSN
1660-5454
Volume of the periodical
15
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
14
Pages from-to
1-14
UT code for WoS article
000438340800001
EID of the result in the Scopus database
2-s2.0-85049692889