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 |
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dc.subject |
inequality |
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dc.subject |
linear operator |
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dc.subject |
projection |
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dc.subject |
semiorthogonal projection |
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dc.subject |
trace |
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dc.subject |
unitary operator |
|
dc.title |
Ideal F-Norms on C*-Algebras. II |
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dc.type |
Article |
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dc.relation.ispartofseries-issue |
3 |
|
dc.relation.ispartofseries-volume |
63 |
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dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
78 |
|
dc.source.id |
SCOPUS1066369X-2019-63-3-SID85066232993 |
|