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dc.contributor.author | Bikchentaev A. | |
dc.date.accessioned | 2018-09-19T21:58:38Z | |
dc.date.available | 2018-09-19T21:58:38Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 0037-4466 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/144553 | |
dc.description.abstract | © 2017, Pleiades Publishing, Ltd.Suppose that P and Q are idempotents on a Hilbert space H, while Q = Q* and I is the identity operator in H. If U = P − Q is an isometry then U = U* is unitary and Q = I − P. We establish a double inequality for the infimum and the supremum of P and Q in H and P − Q. Applications of this inequality are obtained to the characterization of a trace and ideal F-pseudonorms on a W*-algebra. Let φ be a trace on the unital C*-algebra A and let tripotents P and Q belong to A. If P − Q belongs to the domain of definition of φ then φ(P − Q) is a real number. The commutativity of some operators is established. | |
dc.relation.ispartofseries | Siberian Mathematical Journal | |
dc.subject | C*-algebra | |
dc.subject | commutativity | |
dc.subject | Hilbert space | |
dc.subject | ideal F-norm | |
dc.subject | idempotent | |
dc.subject | linear operator | |
dc.subject | operator inequality | |
dc.subject | projection | |
dc.subject | trace | |
dc.subject | trace class operator | |
dc.subject | tripotent | |
dc.subject | unitary operator | |
dc.subject | W*-algebra | |
dc.title | Differences of idempotents in C*-algebras | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 2 | |
dc.relation.ispartofseries-volume | 58 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 183 | |
dc.source.id | SCOPUS00374466-2017-58-2-SID85018846386 |