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 |
|