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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 |