dc.contributor.author |
Bikchentaev A. |
|
dc.date.accessioned |
2018-09-17T20:03:49Z |
|
dc.date.available |
2018-09-17T20:03:49Z |
|
dc.date.issued |
2004 |
|
dc.identifier.issn |
0001-4346 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/132978 |
|
dc.description.abstract |
We prove that the natural embedding of the metric ideal space on a finite von Neumann algebra M into the *-algebra of measurable operators M̃ endowed with the topology of convergence in measure is continuous. Using this fact, we prove that the topology of convergence in measure is a minimal one among all metrizable topologies consistent with the ring structure on M̃. |
|
dc.relation.ispartofseries |
Mathematical Notes |
|
dc.subject |
*-algebra of measurable operators |
|
dc.subject |
Convergence in measure |
|
dc.subject |
Metric ideal space |
|
dc.subject |
Von Neumann algebra |
|
dc.title |
Minimality of convergence in measure topologies on finite von Neumann algebras |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
3-4 |
|
dc.relation.ispartofseries-volume |
75 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
315 |
|
dc.source.id |
SCOPUS00014346-2004-75-34-SID3543109082 |
|