dc.contributor.author |
Hamhalter J. |
|
dc.contributor.author |
Turilova E. |
|
dc.date.accessioned |
2021-02-25T20:51:43Z |
|
dc.date.available |
2021-02-25T20:51:43Z |
|
dc.date.issued |
2020 |
|
dc.identifier.issn |
1995-0802 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/162541 |
|
dc.description.abstract |
© 2020, Pleiades Publishing, Ltd. Abstract: We show that a normal functional varphi on a JBW* triple induces, via Gelfand–Naimark–Segal like construction, a complete inner product space if and only if varphi is a finite convex combination of extreme points from the predual. Application of this result to von Neumann algebras is shown. |
|
dc.relation.ispartofseries |
Lobachevskii Journal of Mathematics |
|
dc.subject |
GNS construction |
|
dc.subject |
JBW* triplets |
|
dc.subject |
normal functionals |
|
dc.title |
Completeness of Inner Product Spaces Associated with Functional on Jordan Structures |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
4 |
|
dc.relation.ispartofseries-volume |
41 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
661 |
|
dc.source.id |
SCOPUS19950802-2020-41-4-SID85088641632 |
|