dc.contributor.author |
Bikchentaev A. |
|
dc.date.accessioned |
2020-01-21T20:54:29Z |
|
dc.date.available |
2020-01-21T20:54:29Z |
|
dc.date.issued |
2019 |
|
dc.identifier.issn |
1995-0802 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/157831 |
|
dc.description.abstract |
© 2019, Pleiades Publishing, Ltd. Let τ be a faithful normal semifinite trace on a von Neumann algebra ℳ, and ℳu be a unitary part of ℳ. We prove a new property of rearrangements of some tripotents in ℳ. If V ∈ ℳ is an isometry (or a coisometry) and U − V is τ-compact for some U ∈ ℳu then V ∈ ℳu. Let ℳ be a factor with a faithful normal trace τ on it. If V ∈ ℳ is an isometry (or a coisometry) and U − V is compact relative to ℳ for some U ∈ ℳu then V ∈ ℳu. We also obtain some corollaries. |
|
dc.relation.ispartofseries |
Lobachevskii Journal of Mathematics |
|
dc.subject |
compact operator |
|
dc.subject |
Hilbert space |
|
dc.subject |
idempotent |
|
dc.subject |
isometry |
|
dc.subject |
linear operator |
|
dc.subject |
projection |
|
dc.subject |
rearrangement |
|
dc.subject |
trace |
|
dc.subject |
tripotent |
|
dc.subject |
unitary operator |
|
dc.subject |
von Neumann algebra |
|
dc.title |
Rearrangements of Tripotents and Differences of Isometries in Semifinite von Neumann Algebras |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
10 |
|
dc.relation.ispartofseries-volume |
40 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
1450 |
|
dc.source.id |
SCOPUS19950802-2019-40-10-SID85073538188 |
|