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dc.contributor.author | Bikchentaev A. | |
dc.date.accessioned | 2020-01-15T21:45:42Z | |
dc.date.available | 2020-01-15T21:45:42Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 1066-369X | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/155708 | |
dc.description.abstract | © 2019, Allerton Press, Inc. We study ideal F-norms ‖·‖p, 0 <p < +∞ associated with a trace ϕ on a C*-algebra A. If A, B of A are such that |A|≤ |B|,then ‖A‖p ≤ ‖B‖p. We have ‖A‖p = ‖A*‖p for all A from A (0 <p < +∞)and a seminorm ‖·‖p for 1 ≤ p< +∞. Weestimate the distance from any element of a unital A to the scalar subalgebra in the seminorm ‖·‖1. We investigate geometric properties of semiorthogonal projections from A. If a trace φ is finite, then the set of all finite sums of pairwise products of projections and semiorthogonal projections (in any order) of A with coefficients from ℝ+ is not dense in A. | |
dc.relation.ispartofseries | Russian Mathematics | |
dc.subject | C*-algebra | |
dc.subject | Hilbert space | |
dc.subject | ideal F-norm | |
dc.subject | inequality | |
dc.subject | linear operator | |
dc.subject | projection | |
dc.subject | semiorthogonal projection | |
dc.subject | trace | |
dc.subject | unitary operator | |
dc.title | Ideal F-Norms on C*-Algebras. II | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 3 | |
dc.relation.ispartofseries-volume | 63 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 78 | |
dc.source.id | SCOPUS1066369X-2019-63-3-SID85066232993 |