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 |
|