Measures on orthoideals and L <inf>1</inf>-spaces associated with positive operators

dc.contributor.author	Novikov A.
dc.contributor.author	Tikhonov O.
dc.date.accessioned	2018-09-19T22:10:11Z
dc.date.available	2018-09-19T22:10:11Z
dc.date.issued	2016
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/144800
dc.description.abstract	© 2016, Pleiades Publishing, Ltd.We study measures on orthoideals in the set of projections in von Neumann algebra, which appear within a framework of L1-spaces associated with positive operators in the algebra. We show that there exists a positive measure on orthoideal, which cannot be extended to a normal weight on the algebra, but can be represented as a difference of two positive measures extendable to normal weights.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	measure on orthoideal
dc.subject	Von Neumann algebra
dc.title	Measures on orthoideals and L <inf>1</inf>-spaces associated with positive operators
dc.type	Article
dc.relation.ispartofseries-issue	4
dc.relation.ispartofseries-volume	37
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	497
dc.source.id	SCOPUS19950802-2016-37-4-SID84978529108

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.