Показать сокращенную информацию
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 |