dc.contributor.author |
Bikchentaev A. |
|
dc.date.accessioned |
2018-09-18T20:17:06Z |
|
dc.date.available |
2018-09-18T20:17:06Z |
|
dc.date.issued |
2013 |
|
dc.identifier.issn |
1066-369X |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/138293 |
|
dc.description.abstract |
In 1975 U. Haagerup has posed the following question: Whether every normal subadditive weight on a W*-algebra is σ-weakly lower semicontinuous? In 2011 the author has positively answered this question in the particular case of abelian W*-algebras and has presented a general form of normal subadditive weights on these algebras. Here we positively answer this question in the case of finite-dimensional W*-algebras. As a corollary, we give a positive answer for subadditive weights with some natural additional condition on atomic W*-algebras. We also obtain the general form of such normal subadditive weights and norms for wide class of normed solid spaces on atomic W*-algebras. © 2013 Allerton Press, Inc. |
|
dc.relation.ispartofseries |
Russian Mathematics |
|
dc.subject |
atom |
|
dc.subject |
bounded linear operator |
|
dc.subject |
Hilbert space |
|
dc.subject |
normal functional |
|
dc.subject |
normed solid space |
|
dc.subject |
projection |
|
dc.subject |
subadditive weight |
|
dc.subject |
W*-algebra |
|
dc.title |
The Haagerup problem on subadditive weights on W*-algebras. II |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
12 |
|
dc.relation.ispartofseries-volume |
57 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.relation.startpage |
66 |
|
dc.source.id |
SCOPUS1066369X-2013-57-12-SID84890517859 |
|