Minimality of convergence in measure topologies on finite von Neumann algebras

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

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.