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dc.contributor.author | Sherstnev A. | |
dc.date.accessioned | 2018-09-18T20:03:40Z | |
dc.date.available | 2018-09-18T20:03:40Z | |
dc.date.issued | 2013 | |
dc.identifier.issn | 0016-2663 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/136127 | |
dc.description.abstract | In the paper we present two results for measures on projections in a W *-algebra of type I2. First, it is shown that, for any such measure m, there exists a Hilbert-valued orthogonal vector measure μ such that {norm of matrix}μ(p){norm of matrix}2 = m(p) for every projection p. In view of J. Hamhalter's result (Proc. Amer. Math. Soc., 110 (1990), 803-806), this means that the above assertion is valid for an arbitrary W*-algebra. Secondly, a construction of a product measure on projections in a W*-algebra of type I2 (an analogue of the product measure in classical Lebesgue theory) is proposed. © 2013 Springer Science+Business Media New York. | |
dc.relation.ispartofseries | Functional Analysis and its Applications | |
dc.subject | measure on projections | |
dc.subject | orthogonal vector measure | |
dc.subject | product measure | |
dc.subject | W*-algebra | |
dc.title | Measures on projections in a W*-algebra of type I2 | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 4 | |
dc.relation.ispartofseries-volume | 47 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 302 | |
dc.source.id | SCOPUS00162663-2013-47-4-SID84890504259 |