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dc.contributor.author | Stolyarov A. | |
dc.contributor.author | Tikhonov O. | |
dc.contributor.author | Sherstnev A. | |
dc.date.accessioned | 2018-09-17T20:03:42Z | |
dc.date.available | 2018-09-17T20:03:42Z | |
dc.date.issued | 2002 | |
dc.identifier.issn | 0001-4346 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/132975 | |
dc.description.abstract | It is proved that if a normal semifinite weight ψ on a von Neumann algebra M satisfies the inequality ψ(|a 1 + a 2|) ≤ ψ(|a 1|) + ψ(|a 2|) for any selfadjoint operators a l, a 2 in M, then this weight is a trace. Several similar characterizations of traces among the normal semifinite weights are proved. In particular, Gardner's result on the characterization of traces by the inequality |ψ(a)| ≤ ψ(|a|) is refined and reinforced. | |
dc.relation.ispartofseries | Mathematical Notes | |
dc.subject | Normal semifinite weight trace | |
dc.subject | Ultrastrong topology | |
dc.subject | Ultraweak topology | |
dc.subject | Von Neumann algebra | |
dc.title | Characterization of normal traces on von Neumann algebras by inequalities for the modulus | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 3-4 | |
dc.relation.ispartofseries-volume | 72 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 411 | |
dc.source.id | SCOPUS00014346-2002-72-34-SID0141625251 |