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 |
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dc.subject |
commutativity |
|
dc.subject |
Hilbert space |
|
dc.subject |
ideal F-norm |
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dc.subject |
idempotent |
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dc.subject |
linear operator |
|
dc.subject |
operator inequality |
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dc.subject |
projection |
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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 |
|