The gleason theorem for the field of rational numbers and residue fields

dc.contributor.author	Mushtari D.
dc.date.accessioned	2018-09-17T20:03:21Z
dc.date.available	2018-09-17T20:03:21Z
dc.date.issued	1998
dc.identifier.issn	0001-4346
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/132967
dc.description.abstract	Charges μ taking values in a field F and defined on orthomodular partially ordered sets (logics) of all projectors in some finite-dimensional linear space over F are considered. In the cases where F is the field of rational numbers or a residue field, the Gleason representation μ(P) = tr(T μP), where T μ is a linear operator, is proved. © 1999 Kluwcr Academic/Plenum Publishers.
dc.relation.ispartofseries	Mathematical Notes
dc.subject	Charge
dc.subject	Gleason representation
dc.subject	Linear operator
dc.subject	Logic of linear projectors
dc.subject	Orthonormal partially ordered set (logic)
dc.subject	Probability measure
dc.subject	Trace-class operator
dc.title	The gleason theorem for the field of rational numbers and residue fields
dc.type	Article
dc.relation.ispartofseries-issue	3-4
dc.relation.ispartofseries-volume	64
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	506
dc.source.id	SCOPUS00014346-1998-64-34-SID29344448466

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