Characterization of Tracial Functionals on Von Neumann Algebras

dc.contributor.author	Alhasan H.
dc.contributor.author	Fawwaz K.
dc.date.accessioned	2022-02-09T20:43:00Z
dc.date.available	2022-02-09T20:43:00Z
dc.date.issued	2021
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/169774
dc.description.abstract	Abstract: It is proved that the inequality (Formula presented.) characterizes tracial functionals among all positive normal functionals ϕ on a von Neumann algebra A. This strengthens the L. T. Gardner’s characterization (1979). As a consequence, a criterion for commutativity of von Neumann algebras is obtained. Also we give a characterization of traces in a wide class of weights on a von Neumann algebra via this inequality. Every faithful normal semifinite trace ϕ on a von Neumann algebra A satisfies this relation. Let (Formula presnted.) be a unitarily invariant norm on a unital C*-algebra A. Then (Formula presnted.) for all A ϵ A+ and B ϵ Asa.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	$C^{*}$-algebra
dc.subject	Hilbert space
dc.subject	linear operator
dc.subject	trace
dc.subject	tracial inequality
dc.subject	von Neumann algebra
dc.subject	weight
dc.title	Characterization of Tracial Functionals on Von Neumann Algebras
dc.type	Article
dc.relation.ispartofseries-issue	10
dc.relation.ispartofseries-volume	42
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2273
dc.source.id	SCOPUS19950802-2021-42-10-SID85117607258

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