Commutativity of projections and characterization of traces on Von Neumann algebras

dc.contributor.author	Bikchentaev A.
dc.date.accessioned	2018-09-18T20:31:40Z
dc.date.available	2018-09-18T20:31:40Z
dc.date.issued	2010
dc.identifier.issn	0037-4466
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/140801
dc.description.abstract	We find new necessary and sufficient conditions for the commutativity of projections in terms of operator inequalities. We apply these inequalities to characterize a trace on von Neumann algebras in the class of all positive normal functionals. We obtain some characterization of a trace on von Neumann algebras in terms of the commutativity of products of projections under a weight. © 2010 Pleiades Publishing, Ltd.
dc.relation.ispartofseries	Siberian Mathematical Journal
dc.subject	bounded linear operator
dc.subject	commutativity of operators
dc.subject	Hilbert space
dc.subject	normal functional
dc.subject	operator inequality
dc.subject	projection
dc.subject	spectral theorem
dc.subject	trace
dc.subject	von Neumann algebra
dc.subject	weight
dc.title	Commutativity of projections and characterization of traces on Von Neumann algebras
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	51
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	971
dc.source.id	SCOPUS00374466-2010-51-6-SID78650798570

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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.